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Finding the Fourth Proportional to 17,780.01, 24,535.94 and 9,820.95

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Solution

The fourth proportional to 17,780.01, 24,535.94 and 9,820.95 is: 13,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.01 : 24,535.94 = 9,820.95 : x
  2. Step 2: Convert to fraction form
    17,780.01/24,535.94 = 9,820.95/x
  3. Step 3: Cross multiply
    17,780.01x = 24,535.94 × 9,820.95
  4. Step 4: Simplify right side
    17,780.01x = 240,966,239.94
  5. Step 5: Solve for x
    x = 240,966,239.94/17,780.01
  6. Step 6: Final answer
    x = 13,552.65

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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.