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Finding the Fourth Proportional to 16,117, 22,233.90 and 11,403.88

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Solution

The fourth proportional to 16,117, 22,233.90 and 11,403.88 is: 15,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117 : 22,233.90 = 11,403.88 : x
  2. Step 2: Convert to fraction form
    16,117/22,233.90 = 11,403.88/x
  3. Step 3: Cross multiply
    16,117x = 22,233.90 × 11,403.88
  4. Step 4: Simplify right side
    16,117x = 253,552,727.53
  5. Step 5: Solve for x
    x = 253,552,727.53/16,117
  6. Step 6: Final answer
    x = 15,732.01

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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.