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Finding the Fourth Proportional to 24,223.38, 36,320.20 and 9,415.02

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Solution

The fourth proportional to 24,223.38, 36,320.20 and 9,415.02 is: 14,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.38 : 36,320.20 = 9,415.02 : x
  2. Step 2: Convert to fraction form
    24,223.38/36,320.20 = 9,415.02/x
  3. Step 3: Cross multiply
    24,223.38x = 36,320.20 × 9,415.02
  4. Step 4: Simplify right side
    24,223.38x = 341,955,409.40
  5. Step 5: Solve for x
    x = 341,955,409.40/24,223.38
  6. Step 6: Final answer
    x = 14,116.75

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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.