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Finding the Fourth Proportional to 18,412.81, 27,622.65 and 10,088.23

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Solution

The fourth proportional to 18,412.81, 27,622.65 and 10,088.23 is: 15,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.81 : 27,622.65 = 10,088.23 : x
  2. Step 2: Convert to fraction form
    18,412.81/27,622.65 = 10,088.23/x
  3. Step 3: Cross multiply
    18,412.81x = 27,622.65 × 10,088.23
  4. Step 4: Simplify right side
    18,412.81x = 278,663,646.41
  5. Step 5: Solve for x
    x = 278,663,646.41/18,412.81
  6. Step 6: Final answer
    x = 15,134.23

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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.