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Finding the Fourth Proportional to 25,165.68, 34,726.56 and 14,556

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Solution

The fourth proportional to 25,165.68, 34,726.56 and 14,556 is: 20,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.68 : 34,726.56 = 14,556 : x
  2. Step 2: Convert to fraction form
    25,165.68/34,726.56 = 14,556/x
  3. Step 3: Cross multiply
    25,165.68x = 34,726.56 × 14,556
  4. Step 4: Simplify right side
    25,165.68x = 505,479,807.36
  5. Step 5: Solve for x
    x = 505,479,807.36/25,165.68
  6. Step 6: Final answer
    x = 20,086.08

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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.