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Finding the Fourth Proportional to 15,785.88, 23,656.22 and 11,592.98

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Solution

The fourth proportional to 15,785.88, 23,656.22 and 11,592.98 is: 17,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.88 : 23,656.22 = 11,592.98 : x
  2. Step 2: Convert to fraction form
    15,785.88/23,656.22 = 11,592.98/x
  3. Step 3: Cross multiply
    15,785.88x = 23,656.22 × 11,592.98
  4. Step 4: Simplify right side
    15,785.88x = 274,246,085.34
  5. Step 5: Solve for x
    x = 274,246,085.34/15,785.88
  6. Step 6: Final answer
    x = 17,372.87

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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.