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Finding the Fourth Proportional to 24,768, 34,184.16 and 14,832

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Solution

The fourth proportional to 24,768, 34,184.16 and 14,832 is: 20,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 34,184.16 = 14,832 : x
  2. Step 2: Convert to fraction form
    24,768/34,184.16 = 14,832/x
  3. Step 3: Cross multiply
    24,768x = 34,184.16 × 14,832
  4. Step 4: Simplify right side
    24,768x = 507,019,461.12
  5. Step 5: Solve for x
    x = 507,019,461.12/24,768
  6. Step 6: Final answer
    x = 20,470.75

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Why These Related Problems?

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