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Finding the Fourth Proportional to 24,320.16, 36,474.88 and 6,785.28

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Solution

The fourth proportional to 24,320.16, 36,474.88 and 6,785.28 is: 10,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320.16 : 36,474.88 = 6,785.28 : x
  2. Step 2: Convert to fraction form
    24,320.16/36,474.88 = 6,785.28/x
  3. Step 3: Cross multiply
    24,320.16x = 36,474.88 × 6,785.28
  4. Step 4: Simplify right side
    24,320.16x = 247,492,273.77
  5. Step 5: Solve for x
    x = 247,492,273.77/24,320.16
  6. Step 6: Final answer
    x = 10,176.42

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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.