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Finding the Fourth Proportional to 16,402.34, 24,597.84 and 4,712.42

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Solution

The fourth proportional to 16,402.34, 24,597.84 and 4,712.42 is: 7,067.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.34 : 24,597.84 = 4,712.42 : x
  2. Step 2: Convert to fraction form
    16,402.34/24,597.84 = 4,712.42/x
  3. Step 3: Cross multiply
    16,402.34x = 24,597.84 × 4,712.42
  4. Step 4: Simplify right side
    16,402.34x = 115,915,353.17
  5. Step 5: Solve for x
    x = 115,915,353.17/16,402.34
  6. Step 6: Final answer
    x = 7,067.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.