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Finding the Fourth Proportional to 24,315.20, 36,501.60 and 24,142.40

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Solution

The fourth proportional to 24,315.20, 36,501.60 and 24,142.40 is: 36,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.20 : 36,501.60 = 24,142.40 : x
  2. Step 2: Convert to fraction form
    24,315.20/36,501.60 = 24,142.40/x
  3. Step 3: Cross multiply
    24,315.20x = 36,501.60 × 24,142.40
  4. Step 4: Simplify right side
    24,315.20x = 881,236,227.84
  5. Step 5: Solve for x
    x = 881,236,227.84/24,315.20
  6. Step 6: Final answer
    x = 36,242.20

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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.