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Finding the Fourth Proportional to 25,152.67, 37,728.87 and 6,432.68

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Solution

The fourth proportional to 25,152.67, 37,728.87 and 6,432.68 is: 9,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.67 : 37,728.87 = 6,432.68 : x
  2. Step 2: Convert to fraction form
    25,152.67/37,728.87 = 6,432.68/x
  3. Step 3: Cross multiply
    25,152.67x = 37,728.87 × 6,432.68
  4. Step 4: Simplify right side
    25,152.67x = 242,697,641.63
  5. Step 5: Solve for x
    x = 242,697,641.63/25,152.67
  6. Step 6: Final answer
    x = 9,648.98

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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.