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Finding the Fourth Proportional to 24,760, 34,152.78 and 14,681.08

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Solution

The fourth proportional to 24,760, 34,152.78 and 14,681.08 is: 20,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760 : 34,152.78 = 14,681.08 : x
  2. Step 2: Convert to fraction form
    24,760/34,152.78 = 14,681.08/x
  3. Step 3: Cross multiply
    24,760x = 34,152.78 × 14,681.08
  4. Step 4: Simplify right side
    24,760x = 501,399,695.40
  5. Step 5: Solve for x
    x = 501,399,695.40/24,760
  6. Step 6: Final answer
    x = 20,250.39

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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.