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Finding the Fourth Proportional to 24,720.48, 37,080 and 9,925.44

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Solution

The fourth proportional to 24,720.48, 37,080 and 9,925.44 is: 14,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720.48 : 37,080 = 9,925.44 : x
  2. Step 2: Convert to fraction form
    24,720.48/37,080 = 9,925.44/x
  3. Step 3: Cross multiply
    24,720.48x = 37,080 × 9,925.44
  4. Step 4: Simplify right side
    24,720.48x = 368,035,315.20
  5. Step 5: Solve for x
    x = 368,035,315.20/24,720.48
  6. Step 6: Final answer
    x = 14,887.87

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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.