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Finding the Fourth Proportional to 15,634.64, 23,453.76 and 6,277.90

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Solution

The fourth proportional to 15,634.64, 23,453.76 and 6,277.90 is: 9,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.64 : 23,453.76 = 6,277.90 : x
  2. Step 2: Convert to fraction form
    15,634.64/23,453.76 = 6,277.90/x
  3. Step 3: Cross multiply
    15,634.64x = 23,453.76 × 6,277.90
  4. Step 4: Simplify right side
    15,634.64x = 147,240,359.90
  5. Step 5: Solve for x
    x = 147,240,359.90/15,634.64
  6. Step 6: Final answer
    x = 9,417.57

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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.