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Finding the Fourth Proportional to 13,820.65, 19,072.53 and 7,854.30

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Solution

The fourth proportional to 13,820.65, 19,072.53 and 7,854.30 is: 10,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.65 : 19,072.53 = 7,854.30 : x
  2. Step 2: Convert to fraction form
    13,820.65/19,072.53 = 7,854.30/x
  3. Step 3: Cross multiply
    13,820.65x = 19,072.53 × 7,854.30
  4. Step 4: Simplify right side
    13,820.65x = 149,801,372.38
  5. Step 5: Solve for x
    x = 149,801,372.38/13,820.65
  6. Step 6: Final answer
    x = 10,838.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.