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Finding the Fourth Proportional to 22,148.91, 30,549.86 and 13,189.50

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Solution

The fourth proportional to 22,148.91, 30,549.86 and 13,189.50 is: 18,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.91 : 30,549.86 = 13,189.50 : x
  2. Step 2: Convert to fraction form
    22,148.91/30,549.86 = 13,189.50/x
  3. Step 3: Cross multiply
    22,148.91x = 30,549.86 × 13,189.50
  4. Step 4: Simplify right side
    22,148.91x = 402,937,361.98
  5. Step 5: Solve for x
    x = 402,937,361.98/22,148.91
  6. Step 6: Final answer
    x = 18,192.20

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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.