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Finding the Fourth Proportional to 25,780.72, 35,578.91 and 14,453.93

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Solution

The fourth proportional to 25,780.72, 35,578.91 and 14,453.93 is: 19,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.72 : 35,578.91 = 14,453.93 : x
  2. Step 2: Convert to fraction form
    25,780.72/35,578.91 = 14,453.93/x
  3. Step 3: Cross multiply
    25,780.72x = 35,578.91 × 14,453.93
  4. Step 4: Simplify right side
    25,780.72x = 514,255,074.62
  5. Step 5: Solve for x
    x = 514,255,074.62/25,780.72
  6. Step 6: Final answer
    x = 19,947.27

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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.