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Finding the Fourth Proportional to 27,430.96, 37,853.04 and 15,494.80

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Solution

The fourth proportional to 27,430.96, 37,853.04 and 15,494.80 is: 21,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.96 : 37,853.04 = 15,494.80 : x
  2. Step 2: Convert to fraction form
    27,430.96/37,853.04 = 15,494.80/x
  3. Step 3: Cross multiply
    27,430.96x = 37,853.04 × 15,494.80
  4. Step 4: Simplify right side
    27,430.96x = 586,525,284.19
  5. Step 5: Solve for x
    x = 586,525,284.19/27,430.96
  6. Step 6: Final answer
    x = 21,381.87

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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.