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Finding the Fourth Proportional to 10,167.66, 14,024.14 and 9,331.07

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Solution

The fourth proportional to 10,167.66, 14,024.14 and 9,331.07 is: 12,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.66 : 14,024.14 = 9,331.07 : x
  2. Step 2: Convert to fraction form
    10,167.66/14,024.14 = 9,331.07/x
  3. Step 3: Cross multiply
    10,167.66x = 14,024.14 × 9,331.07
  4. Step 4: Simplify right side
    10,167.66x = 130,860,138.58
  5. Step 5: Solve for x
    x = 130,860,138.58/10,167.66
  6. Step 6: Final answer
    x = 12,870.23

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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.