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Finding the Fourth Proportional to 17,688, 24,406.20 and 12,983.52

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Solution

The fourth proportional to 17,688, 24,406.20 and 12,983.52 is: 17,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688 : 24,406.20 = 12,983.52 : x
  2. Step 2: Convert to fraction form
    17,688/24,406.20 = 12,983.52/x
  3. Step 3: Cross multiply
    17,688x = 24,406.20 × 12,983.52
  4. Step 4: Simplify right side
    17,688x = 316,878,385.82
  5. Step 5: Solve for x
    x = 316,878,385.82/17,688
  6. Step 6: Final answer
    x = 17,914.88

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