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Finding the Fourth Proportional to 15,856.90, 23,768.18 and 10,314.21

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Solution

The fourth proportional to 15,856.90, 23,768.18 and 10,314.21 is: 15,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.90 : 23,768.18 = 10,314.21 : x
  2. Step 2: Convert to fraction form
    15,856.90/23,768.18 = 10,314.21/x
  3. Step 3: Cross multiply
    15,856.90x = 23,768.18 × 10,314.21
  4. Step 4: Simplify right side
    15,856.90x = 245,149,999.84
  5. Step 5: Solve for x
    x = 245,149,999.84/15,856.90
  6. Step 6: Final answer
    x = 15,460.15

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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.