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Finding the Fourth Proportional to 15,114.21, 22,648.22 and 6,344.34

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Solution

The fourth proportional to 15,114.21, 22,648.22 and 6,344.34 is: 9,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.21 : 22,648.22 = 6,344.34 : x
  2. Step 2: Convert to fraction form
    15,114.21/22,648.22 = 6,344.34/x
  3. Step 3: Cross multiply
    15,114.21x = 22,648.22 × 6,344.34
  4. Step 4: Simplify right side
    15,114.21x = 143,688,008.07
  5. Step 5: Solve for x
    x = 143,688,008.07/15,114.21
  6. Step 6: Final answer
    x = 9,506.82

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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.