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Finding the Fourth Proportional to 16,398.90, 24,595.71 and 4,709.46

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Solution

The fourth proportional to 16,398.90, 24,595.71 and 4,709.46 is: 7,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398.90 : 24,595.71 = 4,709.46 : x
  2. Step 2: Convert to fraction form
    16,398.90/24,595.71 = 4,709.46/x
  3. Step 3: Cross multiply
    16,398.90x = 24,595.71 × 4,709.46
  4. Step 4: Simplify right side
    16,398.90x = 115,832,512.42
  5. Step 5: Solve for x
    x = 115,832,512.42/16,398.90
  6. Step 6: Final answer
    x = 7,063.43

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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.