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Finding the Fourth Proportional to 15,406.08, 21,250.80 and 9,114

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Solution

The fourth proportional to 15,406.08, 21,250.80 and 9,114 is: 12,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.08 : 21,250.80 = 9,114 : x
  2. Step 2: Convert to fraction form
    15,406.08/21,250.80 = 9,114/x
  3. Step 3: Cross multiply
    15,406.08x = 21,250.80 × 9,114
  4. Step 4: Simplify right side
    15,406.08x = 193,679,791.20
  5. Step 5: Solve for x
    x = 193,679,791.20/15,406.08
  6. Step 6: Final answer
    x = 12,571.65

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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.