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Finding the Fourth Proportional to 16,225.78, 24,341.06 and 5,129.95

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Solution

The fourth proportional to 16,225.78, 24,341.06 and 5,129.95 is: 7,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.78 : 24,341.06 = 5,129.95 : x
  2. Step 2: Convert to fraction form
    16,225.78/24,341.06 = 5,129.95/x
  3. Step 3: Cross multiply
    16,225.78x = 24,341.06 × 5,129.95
  4. Step 4: Simplify right side
    16,225.78x = 124,868,395.10
  5. Step 5: Solve for x
    x = 124,868,395.10/16,225.78
  6. Step 6: Final answer
    x = 7,695.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.