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Finding the Fourth Proportional to 25,663.80, 38,564.04 and 13,826.66

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Solution

The fourth proportional to 25,663.80, 38,564.04 and 13,826.66 is: 20,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.80 : 38,564.04 = 13,826.66 : x
  2. Step 2: Convert to fraction form
    25,663.80/38,564.04 = 13,826.66/x
  3. Step 3: Cross multiply
    25,663.80x = 38,564.04 × 13,826.66
  4. Step 4: Simplify right side
    25,663.80x = 533,211,869.31
  5. Step 5: Solve for x
    x = 533,211,869.31/25,663.80
  6. Step 6: Final answer
    x = 20,776.81

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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.