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Finding the Fourth Proportional to 22,513.69, 31,069 and 12,304.92

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Solution

The fourth proportional to 22,513.69, 31,069 and 12,304.92 is: 16,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.69 : 31,069 = 12,304.92 : x
  2. Step 2: Convert to fraction form
    22,513.69/31,069 = 12,304.92/x
  3. Step 3: Cross multiply
    22,513.69x = 31,069 × 12,304.92
  4. Step 4: Simplify right side
    22,513.69x = 382,301,559.48
  5. Step 5: Solve for x
    x = 382,301,559.48/22,513.69
  6. Step 6: Final answer
    x = 16,980.85

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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.