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Finding the Fourth Proportional to 14,580.92, 20,123.16 and 8,293.16

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Solution

The fourth proportional to 14,580.92, 20,123.16 and 8,293.16 is: 11,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.92 : 20,123.16 = 8,293.16 : x
  2. Step 2: Convert to fraction form
    14,580.92/20,123.16 = 8,293.16/x
  3. Step 3: Cross multiply
    14,580.92x = 20,123.16 × 8,293.16
  4. Step 4: Simplify right side
    14,580.92x = 166,884,585.59
  5. Step 5: Solve for x
    x = 166,884,585.59/14,580.92
  6. Step 6: Final answer
    x = 11,445.41

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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.