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Finding the Fourth Proportional to 14,838.07, 22,241.71 and 9,278.65

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Solution

The fourth proportional to 14,838.07, 22,241.71 and 9,278.65 is: 13,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.07 : 22,241.71 = 9,278.65 : x
  2. Step 2: Convert to fraction form
    14,838.07/22,241.71 = 9,278.65/x
  3. Step 3: Cross multiply
    14,838.07x = 22,241.71 × 9,278.65
  4. Step 4: Simplify right side
    14,838.07x = 206,373,042.49
  5. Step 5: Solve for x
    x = 206,373,042.49/14,838.07
  6. Step 6: Final answer
    x = 13,908.35

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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.