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Finding the Fourth Proportional to 24,700.50, 34,087.23 and 13,522.50

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Solution

The fourth proportional to 24,700.50, 34,087.23 and 13,522.50 is: 18,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.50 : 34,087.23 = 13,522.50 : x
  2. Step 2: Convert to fraction form
    24,700.50/34,087.23 = 13,522.50/x
  3. Step 3: Cross multiply
    24,700.50x = 34,087.23 × 13,522.50
  4. Step 4: Simplify right side
    24,700.50x = 460,944,567.68
  5. Step 5: Solve for x
    x = 460,944,567.68/24,700.50
  6. Step 6: Final answer
    x = 18,661.35

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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.