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Finding the Fourth Proportional to 24,768, 34,180.32 and 14,832

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Solution

The fourth proportional to 24,768, 34,180.32 and 14,832 is: 20,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 34,180.32 = 14,832 : x
  2. Step 2: Convert to fraction form
    24,768/34,180.32 = 14,832/x
  3. Step 3: Cross multiply
    24,768x = 34,180.32 × 14,832
  4. Step 4: Simplify right side
    24,768x = 506,962,506.24
  5. Step 5: Solve for x
    x = 506,962,506.24/24,768
  6. Step 6: Final answer
    x = 20,468.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.