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Finding the Fourth Proportional to 15,530.26, 23,299.02 and 5,142

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Solution

The fourth proportional to 15,530.26, 23,299.02 and 5,142 is: 7,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.26 : 23,299.02 = 5,142 : x
  2. Step 2: Convert to fraction form
    15,530.26/23,299.02 = 5,142/x
  3. Step 3: Cross multiply
    15,530.26x = 23,299.02 × 5,142
  4. Step 4: Simplify right side
    15,530.26x = 119,803,560.84
  5. Step 5: Solve for x
    x = 119,803,560.84/15,530.26
  6. Step 6: Final answer
    x = 7,714.20

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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.