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Finding the Fourth Proportional to 22,527.86, 31,089.11 and 12,319.49

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Solution

The fourth proportional to 22,527.86, 31,089.11 and 12,319.49 is: 17,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.86 : 31,089.11 = 12,319.49 : x
  2. Step 2: Convert to fraction form
    22,527.86/31,089.11 = 12,319.49/x
  3. Step 3: Cross multiply
    22,527.86x = 31,089.11 × 12,319.49
  4. Step 4: Simplify right side
    22,527.86x = 383,002,054.17
  5. Step 5: Solve for x
    x = 383,002,054.17/22,527.86
  6. Step 6: Final answer
    x = 17,001.26

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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.