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Finding the Fourth Proportional to 15,647.40, 23,471.10 and 6,291.90

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Solution

The fourth proportional to 15,647.40, 23,471.10 and 6,291.90 is: 9,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.40 : 23,471.10 = 6,291.90 : x
  2. Step 2: Convert to fraction form
    15,647.40/23,471.10 = 6,291.90/x
  3. Step 3: Cross multiply
    15,647.40x = 23,471.10 × 6,291.90
  4. Step 4: Simplify right side
    15,647.40x = 147,677,814.09
  5. Step 5: Solve for x
    x = 147,677,814.09/15,647.40
  6. Step 6: Final answer
    x = 9,437.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.