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Finding the Fourth Proportional to 15,648.53, 23,475.74 and 6,289.29

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Solution

The fourth proportional to 15,648.53, 23,475.74 and 6,289.29 is: 9,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.53 : 23,475.74 = 6,289.29 : x
  2. Step 2: Convert to fraction form
    15,648.53/23,475.74 = 6,289.29/x
  3. Step 3: Cross multiply
    15,648.53x = 23,475.74 × 6,289.29
  4. Step 4: Simplify right side
    15,648.53x = 147,645,705.38
  5. Step 5: Solve for x
    x = 147,645,705.38/15,648.53
  6. Step 6: Final answer
    x = 9,435.12

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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.