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Finding the Fourth Proportional to 22,830.40, 31,508.22 and 13,398.76

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Solution

The fourth proportional to 22,830.40, 31,508.22 and 13,398.76 is: 18,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.40 : 31,508.22 = 13,398.76 : x
  2. Step 2: Convert to fraction form
    22,830.40/31,508.22 = 13,398.76/x
  3. Step 3: Cross multiply
    22,830.40x = 31,508.22 × 13,398.76
  4. Step 4: Simplify right side
    22,830.40x = 422,171,077.81
  5. Step 5: Solve for x
    x = 422,171,077.81/22,830.40
  6. Step 6: Final answer
    x = 18,491.62

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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.