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Finding the Fourth Proportional to 15,642.15, 23,463.21 and 6,282.16

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Solution

The fourth proportional to 15,642.15, 23,463.21 and 6,282.16 is: 9,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.15 : 23,463.21 = 6,282.16 : x
  2. Step 2: Convert to fraction form
    15,642.15/23,463.21 = 6,282.16/x
  3. Step 3: Cross multiply
    15,642.15x = 23,463.21 × 6,282.16
  4. Step 4: Simplify right side
    15,642.15x = 147,399,701.24
  5. Step 5: Solve for x
    x = 147,399,701.24/15,642.15
  6. Step 6: Final answer
    x = 9,423.24

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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.