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Finding the Fourth Proportional to 24,652.60, 34,021.02 and 14,041.60

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Solution

The fourth proportional to 24,652.60, 34,021.02 and 14,041.60 is: 19,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.60 : 34,021.02 = 14,041.60 : x
  2. Step 2: Convert to fraction form
    24,652.60/34,021.02 = 14,041.60/x
  3. Step 3: Cross multiply
    24,652.60x = 34,021.02 × 14,041.60
  4. Step 4: Simplify right side
    24,652.60x = 477,709,554.43
  5. Step 5: Solve for x
    x = 477,709,554.43/24,652.60
  6. Step 6: Final answer
    x = 19,377.65

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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.