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Finding the Fourth Proportional to 22,524.48, 31,084.56 and 13,095

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Solution

The fourth proportional to 22,524.48, 31,084.56 and 13,095 is: 18,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.48 : 31,084.56 = 13,095 : x
  2. Step 2: Convert to fraction form
    22,524.48/31,084.56 = 13,095/x
  3. Step 3: Cross multiply
    22,524.48x = 31,084.56 × 13,095
  4. Step 4: Simplify right side
    22,524.48x = 407,052,313.20
  5. Step 5: Solve for x
    x = 407,052,313.20/22,524.48
  6. Step 6: Final answer
    x = 18,071.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.