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Finding the Fourth Proportional to 18,430.83, 25,426.89 and 10,874.16

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Solution

The fourth proportional to 18,430.83, 25,426.89 and 10,874.16 is: 15,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,430.83 : 25,426.89 = 10,874.16 : x
  2. Step 2: Convert to fraction form
    18,430.83/25,426.89 = 10,874.16/x
  3. Step 3: Cross multiply
    18,430.83x = 25,426.89 × 10,874.16
  4. Step 4: Simplify right side
    18,430.83x = 276,496,070.16
  5. Step 5: Solve for x
    x = 276,496,070.16/18,430.83
  6. Step 6: Final answer
    x = 15,001.82

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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.