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Finding the Fourth Proportional to 15,120.13, 20,854.23 and 13,420.42

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Solution

The fourth proportional to 15,120.13, 20,854.23 and 13,420.42 is: 18,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.13 : 20,854.23 = 13,420.42 : x
  2. Step 2: Convert to fraction form
    15,120.13/20,854.23 = 13,420.42/x
  3. Step 3: Cross multiply
    15,120.13x = 20,854.23 × 13,420.42
  4. Step 4: Simplify right side
    15,120.13x = 279,872,525.38
  5. Step 5: Solve for x
    x = 279,872,525.38/15,120.13
  6. Step 6: Final answer
    x = 18,509.93

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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.