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Finding the Fourth Proportional to 16,880.32, 25,292.71 and 5,780.89

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Solution

The fourth proportional to 16,880.32, 25,292.71 and 5,780.89 is: 8,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880.32 : 25,292.71 = 5,780.89 : x
  2. Step 2: Convert to fraction form
    16,880.32/25,292.71 = 5,780.89/x
  3. Step 3: Cross multiply
    16,880.32x = 25,292.71 × 5,780.89
  4. Step 4: Simplify right side
    16,880.32x = 146,214,374.31
  5. Step 5: Solve for x
    x = 146,214,374.31/16,880.32
  6. Step 6: Final answer
    x = 8,661.82

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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.