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Finding the Fourth Proportional to 24,052.46, 36,059.24 and 10,023.05

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Solution

The fourth proportional to 24,052.46, 36,059.24 and 10,023.05 is: 15,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.46 : 36,059.24 = 10,023.05 : x
  2. Step 2: Convert to fraction form
    24,052.46/36,059.24 = 10,023.05/x
  3. Step 3: Cross multiply
    24,052.46x = 36,059.24 × 10,023.05
  4. Step 4: Simplify right side
    24,052.46x = 361,423,515.37
  5. Step 5: Solve for x
    x = 361,423,515.37/24,052.46
  6. Step 6: Final answer
    x = 15,026.47

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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.