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Finding the Fourth Proportional to 25,921, 35,774.13 and 14,594.74

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Solution

The fourth proportional to 25,921, 35,774.13 and 14,594.74 is: 20,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921 : 35,774.13 = 14,594.74 : x
  2. Step 2: Convert to fraction form
    25,921/35,774.13 = 14,594.74/x
  3. Step 3: Cross multiply
    25,921x = 35,774.13 × 14,594.74
  4. Step 4: Simplify right side
    25,921x = 522,114,126.08
  5. Step 5: Solve for x
    x = 522,114,126.08/25,921
  6. Step 6: Final answer
    x = 20,142.51

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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.