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Finding the Fourth Proportional to 17,382.80, 23,987.98 and 9,828.88

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Solution

The fourth proportional to 17,382.80, 23,987.98 and 9,828.88 is: 13,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.80 : 23,987.98 = 9,828.88 : x
  2. Step 2: Convert to fraction form
    17,382.80/23,987.98 = 9,828.88/x
  3. Step 3: Cross multiply
    17,382.80x = 23,987.98 × 9,828.88
  4. Step 4: Simplify right side
    17,382.80x = 235,774,929.18
  5. Step 5: Solve for x
    x = 235,774,929.18/17,382.80
  6. Step 6: Final answer
    x = 13,563.69

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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.