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Finding the Fourth Proportional to 25,820.25, 35,631.95 and 14,642.25

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Solution

The fourth proportional to 25,820.25, 35,631.95 and 14,642.25 is: 20,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820.25 : 35,631.95 = 14,642.25 : x
  2. Step 2: Convert to fraction form
    25,820.25/35,631.95 = 14,642.25/x
  3. Step 3: Cross multiply
    25,820.25x = 35,631.95 × 14,642.25
  4. Step 4: Simplify right side
    25,820.25x = 521,731,919.89
  5. Step 5: Solve for x
    x = 521,731,919.89/25,820.25
  6. Step 6: Final answer
    x = 20,206.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.