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Finding the Fourth Proportional to 22,930.80, 31,646.34 and 13,501.20

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Solution

The fourth proportional to 22,930.80, 31,646.34 and 13,501.20 is: 18,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.80 : 31,646.34 = 13,501.20 : x
  2. Step 2: Convert to fraction form
    22,930.80/31,646.34 = 13,501.20/x
  3. Step 3: Cross multiply
    22,930.80x = 31,646.34 × 13,501.20
  4. Step 4: Simplify right side
    22,930.80x = 427,263,565.61
  5. Step 5: Solve for x
    x = 427,263,565.61/22,930.80
  6. Step 6: Final answer
    x = 18,632.74

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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.