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Finding the Fourth Proportional to 24,780, 34,200.72 and 14,170.08

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Solution

The fourth proportional to 24,780, 34,200.72 and 14,170.08 is: 19,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780 : 34,200.72 = 14,170.08 : x
  2. Step 2: Convert to fraction form
    24,780/34,200.72 = 14,170.08/x
  3. Step 3: Cross multiply
    24,780x = 34,200.72 × 14,170.08
  4. Step 4: Simplify right side
    24,780x = 484,626,938.46
  5. Step 5: Solve for x
    x = 484,626,938.46/24,780
  6. Step 6: Final answer
    x = 19,557.18

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1.5x scale

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.