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Finding the Fourth Proportional to 16,098.66, 22,199.22 and 12,736.08

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Solution

The fourth proportional to 16,098.66, 22,199.22 and 12,736.08 is: 17,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.66 : 22,199.22 = 12,736.08 : x
  2. Step 2: Convert to fraction form
    16,098.66/22,199.22 = 12,736.08/x
  3. Step 3: Cross multiply
    16,098.66x = 22,199.22 × 12,736.08
  4. Step 4: Simplify right side
    16,098.66x = 282,731,041.86
  5. Step 5: Solve for x
    x = 282,731,041.86/16,098.66
  6. Step 6: Final answer
    x = 17,562.40

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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.