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Finding the Fourth Proportional to 13,870.80, 19,140.48 and 7,902.24

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Solution

The fourth proportional to 13,870.80, 19,140.48 and 7,902.24 is: 10,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.80 : 19,140.48 = 7,902.24 : x
  2. Step 2: Convert to fraction form
    13,870.80/19,140.48 = 7,902.24/x
  3. Step 3: Cross multiply
    13,870.80x = 19,140.48 × 7,902.24
  4. Step 4: Simplify right side
    13,870.80x = 151,252,666.68
  5. Step 5: Solve for x
    x = 151,252,666.68/13,870.80
  6. Step 6: Final answer
    x = 10,904.39

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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.