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Finding the Fourth Proportional to 25,780.88, 35,577.61 and 14,602.88

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Solution

The fourth proportional to 25,780.88, 35,577.61 and 14,602.88 is: 20,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.88 : 35,577.61 = 14,602.88 : x
  2. Step 2: Convert to fraction form
    25,780.88/35,577.61 = 14,602.88/x
  3. Step 3: Cross multiply
    25,780.88x = 35,577.61 × 14,602.88
  4. Step 4: Simplify right side
    25,780.88x = 519,535,569.52
  5. Step 5: Solve for x
    x = 519,535,569.52/25,780.88
  6. Step 6: Final answer
    x = 20,151.97

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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.