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Finding the Fourth Proportional to 15,721.14, 23,574.80 and 8,323.88

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Solution

The fourth proportional to 15,721.14, 23,574.80 and 8,323.88 is: 12,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721.14 : 23,574.80 = 8,323.88 : x
  2. Step 2: Convert to fraction form
    15,721.14/23,574.80 = 8,323.88/x
  3. Step 3: Cross multiply
    15,721.14x = 23,574.80 × 8,323.88
  4. Step 4: Simplify right side
    15,721.14x = 196,233,646.73
  5. Step 5: Solve for x
    x = 196,233,646.73/15,721.14
  6. Step 6: Final answer
    x = 12,482.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.