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Finding the Fourth Proportional to 25,257.60, 37,900.80 and 9,686.40

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Solution

The fourth proportional to 25,257.60, 37,900.80 and 9,686.40 is: 14,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.60 : 37,900.80 = 9,686.40 : x
  2. Step 2: Convert to fraction form
    25,257.60/37,900.80 = 9,686.40/x
  3. Step 3: Cross multiply
    25,257.60x = 37,900.80 × 9,686.40
  4. Step 4: Simplify right side
    25,257.60x = 367,122,309.12
  5. Step 5: Solve for x
    x = 367,122,309.12/25,257.60
  6. Step 6: Final answer
    x = 14,535.12

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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.