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Finding the Fourth Proportional to 25,824.80, 38,750 and 10,242.08

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Solution

The fourth proportional to 25,824.80, 38,750 and 10,242.08 is: 15,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824.80 : 38,750 = 10,242.08 : x
  2. Step 2: Convert to fraction form
    25,824.80/38,750 = 10,242.08/x
  3. Step 3: Cross multiply
    25,824.80x = 38,750 × 10,242.08
  4. Step 4: Simplify right side
    25,824.80x = 396,880,600
  5. Step 5: Solve for x
    x = 396,880,600/25,824.80
  6. Step 6: Final answer
    x = 15,368.20

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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.