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Finding the Fourth Proportional to 25,686.72, 38,495.52 and 10,100.16

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Solution

The fourth proportional to 25,686.72, 38,495.52 and 10,100.16 is: 15,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.72 : 38,495.52 = 10,100.16 : x
  2. Step 2: Convert to fraction form
    25,686.72/38,495.52 = 10,100.16/x
  3. Step 3: Cross multiply
    25,686.72x = 38,495.52 × 10,100.16
  4. Step 4: Simplify right side
    25,686.72x = 388,810,911.28
  5. Step 5: Solve for x
    x = 388,810,911.28/25,686.72
  6. Step 6: Final answer
    x = 15,136.65

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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.