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Finding the Fourth Proportional to 17,842.97, 24,623.28 and 9,776.63

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Solution

The fourth proportional to 17,842.97, 24,623.28 and 9,776.63 is: 13,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.97 : 24,623.28 = 9,776.63 : x
  2. Step 2: Convert to fraction form
    17,842.97/24,623.28 = 9,776.63/x
  3. Step 3: Cross multiply
    17,842.97x = 24,623.28 × 9,776.63
  4. Step 4: Simplify right side
    17,842.97x = 240,732,574.83
  5. Step 5: Solve for x
    x = 240,732,574.83/17,842.97
  6. Step 6: Final answer
    x = 13,491.74

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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.