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Finding the Fourth Proportional to 12,587.59, 18,880.16 and 3,822.58

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Solution

The fourth proportional to 12,587.59, 18,880.16 and 3,822.58 is: 5,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.59 : 18,880.16 = 3,822.58 : x
  2. Step 2: Convert to fraction form
    12,587.59/18,880.16 = 3,822.58/x
  3. Step 3: Cross multiply
    12,587.59x = 18,880.16 × 3,822.58
  4. Step 4: Simplify right side
    12,587.59x = 72,170,865.26
  5. Step 5: Solve for x
    x = 72,170,865.26/12,587.59
  6. Step 6: Final answer
    x = 5,733.49

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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.