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Finding the Fourth Proportional to 16,222.32, 22,387.86 and 9,148.32

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Solution

The fourth proportional to 16,222.32, 22,387.86 and 9,148.32 is: 12,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.32 : 22,387.86 = 9,148.32 : x
  2. Step 2: Convert to fraction form
    16,222.32/22,387.86 = 9,148.32/x
  3. Step 3: Cross multiply
    16,222.32x = 22,387.86 × 9,148.32
  4. Step 4: Simplify right side
    16,222.32x = 204,811,307.40
  5. Step 5: Solve for x
    x = 204,811,307.40/16,222.32
  6. Step 6: Final answer
    x = 12,625.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.