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Finding the Fourth Proportional to 17,772.98, 24,526.63 and 9,815.17

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Solution

The fourth proportional to 17,772.98, 24,526.63 and 9,815.17 is: 13,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.98 : 24,526.63 = 9,815.17 : x
  2. Step 2: Convert to fraction form
    17,772.98/24,526.63 = 9,815.17/x
  3. Step 3: Cross multiply
    17,772.98x = 24,526.63 × 9,815.17
  4. Step 4: Simplify right side
    17,772.98x = 240,733,042.98
  5. Step 5: Solve for x
    x = 240,733,042.98/17,772.98
  6. Step 6: Final answer
    x = 13,544.89

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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.