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Finding the Fourth Proportional to 14,397.64, 19,869.06 and 8,024.68

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Solution

The fourth proportional to 14,397.64, 19,869.06 and 8,024.68 is: 11,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.64 : 19,869.06 = 8,024.68 : x
  2. Step 2: Convert to fraction form
    14,397.64/19,869.06 = 8,024.68/x
  3. Step 3: Cross multiply
    14,397.64x = 19,869.06 × 8,024.68
  4. Step 4: Simplify right side
    14,397.64x = 159,442,848.40
  5. Step 5: Solve for x
    x = 159,442,848.40/14,397.64
  6. Step 6: Final answer
    x = 11,074.23

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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.