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Finding the Fourth Proportional to 17,620.80, 24,317.78 and 9,664.17

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Solution

The fourth proportional to 17,620.80, 24,317.78 and 9,664.17 is: 13,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,620.80 : 24,317.78 = 9,664.17 : x
  2. Step 2: Convert to fraction form
    17,620.80/24,317.78 = 9,664.17/x
  3. Step 3: Cross multiply
    17,620.80x = 24,317.78 × 9,664.17
  4. Step 4: Simplify right side
    17,620.80x = 235,011,159.94
  5. Step 5: Solve for x
    x = 235,011,159.94/17,620.80
  6. Step 6: Final answer
    x = 13,337.14

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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.