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Finding the Fourth Proportional to 25,718.64, 38,598.48 and 10,147.20

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Solution

The fourth proportional to 25,718.64, 38,598.48 and 10,147.20 is: 15,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,718.64 : 38,598.48 = 10,147.20 : x
  2. Step 2: Convert to fraction form
    25,718.64/38,598.48 = 10,147.20/x
  3. Step 3: Cross multiply
    25,718.64x = 38,598.48 × 10,147.20
  4. Step 4: Simplify right side
    25,718.64x = 391,666,496.26
  5. Step 5: Solve for x
    x = 391,666,496.26/25,718.64
  6. Step 6: Final answer
    x = 15,228.90

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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.