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Finding the Fourth Proportional to 22,885.32, 31,595.20 and 17,174

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Solution

The fourth proportional to 22,885.32, 31,595.20 and 17,174 is: 23,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.32 : 31,595.20 = 17,174 : x
  2. Step 2: Convert to fraction form
    22,885.32/31,595.20 = 17,174/x
  3. Step 3: Cross multiply
    22,885.32x = 31,595.20 × 17,174
  4. Step 4: Simplify right side
    22,885.32x = 542,615,964.80
  5. Step 5: Solve for x
    x = 542,615,964.80/22,885.32
  6. Step 6: Final answer
    x = 23,710.22

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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.