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Finding the Fourth Proportional to 24,960, 34,444.80 and 13,782

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Solution

The fourth proportional to 24,960, 34,444.80 and 13,782 is: 19,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,960 : 34,444.80 = 13,782 : x
  2. Step 2: Convert to fraction form
    24,960/34,444.80 = 13,782/x
  3. Step 3: Cross multiply
    24,960x = 34,444.80 × 13,782
  4. Step 4: Simplify right side
    24,960x = 474,718,233.60
  5. Step 5: Solve for x
    x = 474,718,233.60/24,960
  6. Step 6: Final answer
    x = 19,019.16

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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.