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Finding the Fourth Proportional to 16,425.32, 24,638.14 and 7,064.70

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Solution

The fourth proportional to 16,425.32, 24,638.14 and 7,064.70 is: 10,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425.32 : 24,638.14 = 7,064.70 : x
  2. Step 2: Convert to fraction form
    16,425.32/24,638.14 = 7,064.70/x
  3. Step 3: Cross multiply
    16,425.32x = 24,638.14 × 7,064.70
  4. Step 4: Simplify right side
    16,425.32x = 174,061,067.66
  5. Step 5: Solve for x
    x = 174,061,067.66/16,425.32
  6. Step 6: Final answer
    x = 10,597.12

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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.