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Finding the Fourth Proportional to 18,130.34, 27,188.13 and 5,646.17

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Solution

The fourth proportional to 18,130.34, 27,188.13 and 5,646.17 is: 8,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,130.34 : 27,188.13 = 5,646.17 : x
  2. Step 2: Convert to fraction form
    18,130.34/27,188.13 = 5,646.17/x
  3. Step 3: Cross multiply
    18,130.34x = 27,188.13 × 5,646.17
  4. Step 4: Simplify right side
    18,130.34x = 153,508,803.96
  5. Step 5: Solve for x
    x = 153,508,803.96/18,130.34
  6. Step 6: Final answer
    x = 8,466.96

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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.