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Finding the Fourth Proportional to 22,538.69, 31,102.43 and 12,329.55

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Solution

The fourth proportional to 22,538.69, 31,102.43 and 12,329.55 is: 17,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.69 : 31,102.43 = 12,329.55 : x
  2. Step 2: Convert to fraction form
    22,538.69/31,102.43 = 12,329.55/x
  3. Step 3: Cross multiply
    22,538.69x = 31,102.43 × 12,329.55
  4. Step 4: Simplify right side
    22,538.69x = 383,478,904.16
  5. Step 5: Solve for x
    x = 383,478,904.16/22,538.69
  6. Step 6: Final answer
    x = 17,014.25

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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.