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Finding the Fourth Proportional to 22,697.30, 31,321.70 and 13,135.86

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Solution

The fourth proportional to 22,697.30, 31,321.70 and 13,135.86 is: 18,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.30 : 31,321.70 = 13,135.86 : x
  2. Step 2: Convert to fraction form
    22,697.30/31,321.70 = 13,135.86/x
  3. Step 3: Cross multiply
    22,697.30x = 31,321.70 × 13,135.86
  4. Step 4: Simplify right side
    22,697.30x = 411,437,400.48
  5. Step 5: Solve for x
    x = 411,437,400.48/22,697.30
  6. Step 6: Final answer
    x = 18,127.16

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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.