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Finding the Fourth Proportional to 16,947.16, 23,390 and 9,877.08

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Solution

The fourth proportional to 16,947.16, 23,390 and 9,877.08 is: 13,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947.16 : 23,390 = 9,877.08 : x
  2. Step 2: Convert to fraction form
    16,947.16/23,390 = 9,877.08/x
  3. Step 3: Cross multiply
    16,947.16x = 23,390 × 9,877.08
  4. Step 4: Simplify right side
    16,947.16x = 231,024,901.20
  5. Step 5: Solve for x
    x = 231,024,901.20/16,947.16
  6. Step 6: Final answer
    x = 13,632.07

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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.