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Finding the Fourth Proportional to 15,530.98, 23,295.93 and 5,142.64

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Solution

The fourth proportional to 15,530.98, 23,295.93 and 5,142.64 is: 7,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.98 : 23,295.93 = 5,142.64 : x
  2. Step 2: Convert to fraction form
    15,530.98/23,295.93 = 5,142.64/x
  3. Step 3: Cross multiply
    15,530.98x = 23,295.93 × 5,142.64
  4. Step 4: Simplify right side
    15,530.98x = 119,802,581.46
  5. Step 5: Solve for x
    x = 119,802,581.46/15,530.98
  6. Step 6: Final answer
    x = 7,713.78

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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.