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Finding the Fourth Proportional to 15,174.96, 22,765.82 and 4,646.46

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Solution

The fourth proportional to 15,174.96, 22,765.82 and 4,646.46 is: 6,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.96 : 22,765.82 = 4,646.46 : x
  2. Step 2: Convert to fraction form
    15,174.96/22,765.82 = 4,646.46/x
  3. Step 3: Cross multiply
    15,174.96x = 22,765.82 × 4,646.46
  4. Step 4: Simplify right side
    15,174.96x = 105,780,398.24
  5. Step 5: Solve for x
    x = 105,780,398.24/15,174.96
  6. Step 6: Final answer
    x = 6,970.72

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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.