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Finding the Fourth Proportional to 22,358.67, 30,848.24 and 13,402.91

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Solution

The fourth proportional to 22,358.67, 30,848.24 and 13,402.91 is: 18,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.67 : 30,848.24 = 13,402.91 : x
  2. Step 2: Convert to fraction form
    22,358.67/30,848.24 = 13,402.91/x
  3. Step 3: Cross multiply
    22,358.67x = 30,848.24 × 13,402.91
  4. Step 4: Simplify right side
    22,358.67x = 413,456,030.14
  5. Step 5: Solve for x
    x = 413,456,030.14/22,358.67
  6. Step 6: Final answer
    x = 18,491.98

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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.