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Finding the Fourth Proportional to 25,853.85, 35,681.67 and 15,780.20

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Solution

The fourth proportional to 25,853.85, 35,681.67 and 15,780.20 is: 21,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.85 : 35,681.67 = 15,780.20 : x
  2. Step 2: Convert to fraction form
    25,853.85/35,681.67 = 15,780.20/x
  3. Step 3: Cross multiply
    25,853.85x = 35,681.67 × 15,780.20
  4. Step 4: Simplify right side
    25,853.85x = 563,063,710.53
  5. Step 5: Solve for x
    x = 563,063,710.53/25,853.85
  6. Step 6: Final answer
    x = 21,778.72

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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.