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Finding the Fourth Proportional to 16,303.32, 22,497.93 and 9,229.89

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Solution

The fourth proportional to 16,303.32, 22,497.93 and 9,229.89 is: 12,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.32 : 22,497.93 = 9,229.89 : x
  2. Step 2: Convert to fraction form
    16,303.32/22,497.93 = 9,229.89/x
  3. Step 3: Cross multiply
    16,303.32x = 22,497.93 × 9,229.89
  4. Step 4: Simplify right side
    16,303.32x = 207,653,419.13
  5. Step 5: Solve for x
    x = 207,653,419.13/16,303.32
  6. Step 6: Final answer
    x = 12,736.88

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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.