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Finding the Fourth Proportional to 25,221.90, 34,775.39 and 15,774.06

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Solution

The fourth proportional to 25,221.90, 34,775.39 and 15,774.06 is: 21,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221.90 : 34,775.39 = 15,774.06 : x
  2. Step 2: Convert to fraction form
    25,221.90/34,775.39 = 15,774.06/x
  3. Step 3: Cross multiply
    25,221.90x = 34,775.39 × 15,774.06
  4. Step 4: Simplify right side
    25,221.90x = 548,549,088.38
  5. Step 5: Solve for x
    x = 548,549,088.38/25,221.90
  6. Step 6: Final answer
    x = 21,748.92

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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.