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Finding the Fourth Proportional to 24,050.24, 36,076.47 and 7,411.01

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Solution

The fourth proportional to 24,050.24, 36,076.47 and 7,411.01 is: 11,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,050.24 : 36,076.47 = 7,411.01 : x
  2. Step 2: Convert to fraction form
    24,050.24/36,076.47 = 7,411.01/x
  3. Step 3: Cross multiply
    24,050.24x = 36,076.47 × 7,411.01
  4. Step 4: Simplify right side
    24,050.24x = 267,363,079.93
  5. Step 5: Solve for x
    x = 267,363,079.93/24,050.24
  6. Step 6: Final answer
    x = 11,116.86

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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.