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Finding the Fourth Proportional to 16,186.32, 22,339.80 and 9,113.40

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Solution

The fourth proportional to 16,186.32, 22,339.80 and 9,113.40 is: 12,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.32 : 22,339.80 = 9,113.40 : x
  2. Step 2: Convert to fraction form
    16,186.32/22,339.80 = 9,113.40/x
  3. Step 3: Cross multiply
    16,186.32x = 22,339.80 × 9,113.40
  4. Step 4: Simplify right side
    16,186.32x = 203,591,533.32
  5. Step 5: Solve for x
    x = 203,591,533.32/16,186.32
  6. Step 6: Final answer
    x = 12,578.00

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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.