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Finding the Fourth Proportional to 14,265, 21,406.40 and 6,870.24

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Solution

The fourth proportional to 14,265, 21,406.40 and 6,870.24 is: 10,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265 : 21,406.40 = 6,870.24 : x
  2. Step 2: Convert to fraction form
    14,265/21,406.40 = 6,870.24/x
  3. Step 3: Cross multiply
    14,265x = 21,406.40 × 6,870.24
  4. Step 4: Simplify right side
    14,265x = 147,067,105.54
  5. Step 5: Solve for x
    x = 147,067,105.54/14,265
  6. Step 6: Final answer
    x = 10,309.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.