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Finding the Fourth Proportional to 15,587.77, 23,376.98 and 8,188.19

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Solution

The fourth proportional to 15,587.77, 23,376.98 and 8,188.19 is: 12,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,587.77 : 23,376.98 = 8,188.19 : x
  2. Step 2: Convert to fraction form
    15,587.77/23,376.98 = 8,188.19/x
  3. Step 3: Cross multiply
    15,587.77x = 23,376.98 × 8,188.19
  4. Step 4: Simplify right side
    15,587.77x = 191,415,122.09
  5. Step 5: Solve for x
    x = 191,415,122.09/15,587.77
  6. Step 6: Final answer
    x = 12,279.83

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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.