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Finding the Fourth Proportional to 16,274.10, 24,411.15 and 9,713.10

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Solution

The fourth proportional to 16,274.10, 24,411.15 and 9,713.10 is: 14,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.10 : 24,411.15 = 9,713.10 : x
  2. Step 2: Convert to fraction form
    16,274.10/24,411.15 = 9,713.10/x
  3. Step 3: Cross multiply
    16,274.10x = 24,411.15 × 9,713.10
  4. Step 4: Simplify right side
    16,274.10x = 237,107,941.07
  5. Step 5: Solve for x
    x = 237,107,941.07/16,274.10
  6. Step 6: Final answer
    x = 14,569.65

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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.