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Finding the Fourth Proportional to 15,914.45, 23,872.14 and 7,595.34

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Solution

The fourth proportional to 15,914.45, 23,872.14 and 7,595.34 is: 11,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.45 : 23,872.14 = 7,595.34 : x
  2. Step 2: Convert to fraction form
    15,914.45/23,872.14 = 7,595.34/x
  3. Step 3: Cross multiply
    15,914.45x = 23,872.14 × 7,595.34
  4. Step 4: Simplify right side
    15,914.45x = 181,317,019.83
  5. Step 5: Solve for x
    x = 181,317,019.83/15,914.45
  6. Step 6: Final answer
    x = 11,393.24

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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.