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Finding the Fourth Proportional to 24,755.36, 34,156.52 and 14,000.48

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Solution

The fourth proportional to 24,755.36, 34,156.52 and 14,000.48 is: 19,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.36 : 34,156.52 = 14,000.48 : x
  2. Step 2: Convert to fraction form
    24,755.36/34,156.52 = 14,000.48/x
  3. Step 3: Cross multiply
    24,755.36x = 34,156.52 × 14,000.48
  4. Step 4: Simplify right side
    24,755.36x = 478,207,675.13
  5. Step 5: Solve for x
    x = 478,207,675.13/24,755.36
  6. Step 6: Final answer
    x = 19,317.34

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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.