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Finding the Fourth Proportional to 12,684.42, 17,508.51 and 8,711.10

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Solution

The fourth proportional to 12,684.42, 17,508.51 and 8,711.10 is: 12,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.42 : 17,508.51 = 8,711.10 : x
  2. Step 2: Convert to fraction form
    12,684.42/17,508.51 = 8,711.10/x
  3. Step 3: Cross multiply
    12,684.42x = 17,508.51 × 8,711.10
  4. Step 4: Simplify right side
    12,684.42x = 152,518,381.46
  5. Step 5: Solve for x
    x = 152,518,381.46/12,684.42
  6. Step 6: Final answer
    x = 12,024.07

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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.