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Finding the Fourth Proportional to 24,594, 33,939.84 and 13,416.72

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Solution

The fourth proportional to 24,594, 33,939.84 and 13,416.72 is: 18,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594 : 33,939.84 = 13,416.72 : x
  2. Step 2: Convert to fraction form
    24,594/33,939.84 = 13,416.72/x
  3. Step 3: Cross multiply
    24,594x = 33,939.84 × 13,416.72
  4. Step 4: Simplify right side
    24,594x = 455,361,330.12
  5. Step 5: Solve for x
    x = 455,361,330.12/24,594
  6. Step 6: Final answer
    x = 18,515.14

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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.