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Finding the Fourth Proportional to 16,233.40, 24,335.70 and 10,689.40

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Solution

The fourth proportional to 16,233.40, 24,335.70 and 10,689.40 is: 16,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.40 : 24,335.70 = 10,689.40 : x
  2. Step 2: Convert to fraction form
    16,233.40/24,335.70 = 10,689.40/x
  3. Step 3: Cross multiply
    16,233.40x = 24,335.70 × 10,689.40
  4. Step 4: Simplify right side
    16,233.40x = 260,134,031.58
  5. Step 5: Solve for x
    x = 260,134,031.58/16,233.40
  6. Step 6: Final answer
    x = 16,024.62

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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.