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Finding the Fourth Proportional to 14,601.64, 20,129.90 and 10,117.68

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Solution

The fourth proportional to 14,601.64, 20,129.90 and 10,117.68 is: 13,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.64 : 20,129.90 = 10,117.68 : x
  2. Step 2: Convert to fraction form
    14,601.64/20,129.90 = 10,117.68/x
  3. Step 3: Cross multiply
    14,601.64x = 20,129.90 × 10,117.68
  4. Step 4: Simplify right side
    14,601.64x = 203,667,886.63
  5. Step 5: Solve for x
    x = 203,667,886.63/14,601.64
  6. Step 6: Final answer
    x = 13,948.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.