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Finding the Fourth Proportional to 14,820.29, 22,230.41 and 6,920.16

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Solution

The fourth proportional to 14,820.29, 22,230.41 and 6,920.16 is: 10,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,820.29 : 22,230.41 = 6,920.16 : x
  2. Step 2: Convert to fraction form
    14,820.29/22,230.41 = 6,920.16/x
  3. Step 3: Cross multiply
    14,820.29x = 22,230.41 × 6,920.16
  4. Step 4: Simplify right side
    14,820.29x = 153,837,959.46
  5. Step 5: Solve for x
    x = 153,837,959.46/14,820.29
  6. Step 6: Final answer
    x = 10,380.23

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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.