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Finding the Fourth Proportional to 15,596.76, 23,357.16 and 8,207.40

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Solution

The fourth proportional to 15,596.76, 23,357.16 and 8,207.40 is: 12,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.76 : 23,357.16 = 8,207.40 : x
  2. Step 2: Convert to fraction form
    15,596.76/23,357.16 = 8,207.40/x
  3. Step 3: Cross multiply
    15,596.76x = 23,357.16 × 8,207.40
  4. Step 4: Simplify right side
    15,596.76x = 191,701,554.98
  5. Step 5: Solve for x
    x = 191,701,554.98/15,596.76
  6. Step 6: Final answer
    x = 12,291.11

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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.