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Finding the Fourth Proportional to 24,312.39, 33,560.32 and 16,359.22

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Solution

The fourth proportional to 24,312.39, 33,560.32 and 16,359.22 is: 22,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.39 : 33,560.32 = 16,359.22 : x
  2. Step 2: Convert to fraction form
    24,312.39/33,560.32 = 16,359.22/x
  3. Step 3: Cross multiply
    24,312.39x = 33,560.32 × 16,359.22
  4. Step 4: Simplify right side
    24,312.39x = 549,020,660.26
  5. Step 5: Solve for x
    x = 549,020,660.26/24,312.39
  6. Step 6: Final answer
    x = 22,581.93

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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.