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Finding the Fourth Proportional to 24,897.34, 34,358.16 and 13,719.34

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Solution

The fourth proportional to 24,897.34, 34,358.16 and 13,719.34 is: 18,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.34 : 34,358.16 = 13,719.34 : x
  2. Step 2: Convert to fraction form
    24,897.34/34,358.16 = 13,719.34/x
  3. Step 3: Cross multiply
    24,897.34x = 34,358.16 × 13,719.34
  4. Step 4: Simplify right side
    24,897.34x = 471,371,278.81
  5. Step 5: Solve for x
    x = 471,371,278.81/24,897.34
  6. Step 6: Final answer
    x = 18,932.60

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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.