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Finding the Fourth Proportional to 25,809.85, 38,725.71 and 14,109.40

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Solution

The fourth proportional to 25,809.85, 38,725.71 and 14,109.40 is: 21,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.85 : 38,725.71 = 14,109.40 : x
  2. Step 2: Convert to fraction form
    25,809.85/38,725.71 = 14,109.40/x
  3. Step 3: Cross multiply
    25,809.85x = 38,725.71 × 14,109.40
  4. Step 4: Simplify right side
    25,809.85x = 546,396,532.67
  5. Step 5: Solve for x
    x = 546,396,532.67/25,809.85
  6. Step 6: Final answer
    x = 21,170.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.