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Finding the Fourth Proportional to 15,643.41, 23,468.18 and 6,878.30

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Solution

The fourth proportional to 15,643.41, 23,468.18 and 6,878.30 is: 10,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.41 : 23,468.18 = 6,878.30 : x
  2. Step 2: Convert to fraction form
    15,643.41/23,468.18 = 6,878.30/x
  3. Step 3: Cross multiply
    15,643.41x = 23,468.18 × 6,878.30
  4. Step 4: Simplify right side
    15,643.41x = 161,421,182.49
  5. Step 5: Solve for x
    x = 161,421,182.49/15,643.41
  6. Step 6: Final answer
    x = 10,318.80

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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.