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Finding the Fourth Proportional to 25,222.50, 34,808.13 and 14,044.50

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Solution

The fourth proportional to 25,222.50, 34,808.13 and 14,044.50 is: 19,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222.50 : 34,808.13 = 14,044.50 : x
  2. Step 2: Convert to fraction form
    25,222.50/34,808.13 = 14,044.50/x
  3. Step 3: Cross multiply
    25,222.50x = 34,808.13 × 14,044.50
  4. Step 4: Simplify right side
    25,222.50x = 488,862,781.79
  5. Step 5: Solve for x
    x = 488,862,781.79/25,222.50
  6. Step 6: Final answer
    x = 19,382.01

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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.