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Finding the Fourth Proportional to 19,657.66, 29,417.24 and 12,265.60

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Solution

The fourth proportional to 19,657.66, 29,417.24 and 12,265.60 is: 18,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.66 : 29,417.24 = 12,265.60 : x
  2. Step 2: Convert to fraction form
    19,657.66/29,417.24 = 12,265.60/x
  3. Step 3: Cross multiply
    19,657.66x = 29,417.24 × 12,265.60
  4. Step 4: Simplify right side
    19,657.66x = 360,820,098.94
  5. Step 5: Solve for x
    x = 360,820,098.94/19,657.66
  6. Step 6: Final answer
    x = 18,355.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.