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Finding the Fourth Proportional to 13,878.38, 19,154.02 and 7,829.86

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Solution

The fourth proportional to 13,878.38, 19,154.02 and 7,829.86 is: 10,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.38 : 19,154.02 = 7,829.86 : x
  2. Step 2: Convert to fraction form
    13,878.38/19,154.02 = 7,829.86/x
  3. Step 3: Cross multiply
    13,878.38x = 19,154.02 × 7,829.86
  4. Step 4: Simplify right side
    13,878.38x = 149,973,295.04
  5. Step 5: Solve for x
    x = 149,973,295.04/13,878.38
  6. Step 6: Final answer
    x = 10,806.25

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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.