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Finding the Fourth Proportional to 24,878, 34,331.64 and 13,700.72

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Solution

The fourth proportional to 24,878, 34,331.64 and 13,700.72 is: 18,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878 : 34,331.64 = 13,700.72 : x
  2. Step 2: Convert to fraction form
    24,878/34,331.64 = 13,700.72/x
  3. Step 3: Cross multiply
    24,878x = 34,331.64 × 13,700.72
  4. Step 4: Simplify right side
    24,878x = 470,368,186.78
  5. Step 5: Solve for x
    x = 470,368,186.78/24,878
  6. Step 6: Final answer
    x = 18,906.99

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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.