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Finding the Fourth Proportional to 16,474.77, 24,710.13 and 9,724.23

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Solution

The fourth proportional to 16,474.77, 24,710.13 and 9,724.23 is: 14,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.77 : 24,710.13 = 9,724.23 : x
  2. Step 2: Convert to fraction form
    16,474.77/24,710.13 = 9,724.23/x
  3. Step 3: Cross multiply
    16,474.77x = 24,710.13 × 9,724.23
  4. Step 4: Simplify right side
    16,474.77x = 240,286,987.45
  5. Step 5: Solve for x
    x = 240,286,987.45/16,474.77
  6. Step 6: Final answer
    x = 14,585.15

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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.