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Finding the Fourth Proportional to 15,735.18, 23,626.02 and 10,502.78

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Solution

The fourth proportional to 15,735.18, 23,626.02 and 10,502.78 is: 15,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.18 : 23,626.02 = 10,502.78 : x
  2. Step 2: Convert to fraction form
    15,735.18/23,626.02 = 10,502.78/x
  3. Step 3: Cross multiply
    15,735.18x = 23,626.02 × 10,502.78
  4. Step 4: Simplify right side
    15,735.18x = 248,138,890.34
  5. Step 5: Solve for x
    x = 248,138,890.34/15,735.18
  6. Step 6: Final answer
    x = 15,769.69

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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.