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Finding the Fourth Proportional to 25,187.76, 37,775.16 and 7,657.20

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Solution

The fourth proportional to 25,187.76, 37,775.16 and 7,657.20 is: 11,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.76 : 37,775.16 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    25,187.76/37,775.16 = 7,657.20/x
  3. Step 3: Cross multiply
    25,187.76x = 37,775.16 × 7,657.20
  4. Step 4: Simplify right side
    25,187.76x = 289,251,955.15
  5. Step 5: Solve for x
    x = 289,251,955.15/25,187.76
  6. Step 6: Final answer
    x = 11,483.83

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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.