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Finding the Fourth Proportional to 34,476.98, 51,717.21 and 9,516.47

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Solution

The fourth proportional to 34,476.98, 51,717.21 and 9,516.47 is: 14,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476.98 : 51,717.21 = 9,516.47 : x
  2. Step 2: Convert to fraction form
    34,476.98/51,717.21 = 9,516.47/x
  3. Step 3: Cross multiply
    34,476.98x = 51,717.21 × 9,516.47
  4. Step 4: Simplify right side
    34,476.98x = 492,165,018.86
  5. Step 5: Solve for x
    x = 492,165,018.86/34,476.98
  6. Step 6: Final answer
    x = 14,275.18

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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.