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Finding the Fourth Proportional to 26,016, 38,804.80 and 21,807.24

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Solution

The fourth proportional to 26,016, 38,804.80 and 21,807.24 is: 32,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016 : 38,804.80 = 21,807.24 : x
  2. Step 2: Convert to fraction form
    26,016/38,804.80 = 21,807.24/x
  3. Step 3: Cross multiply
    26,016x = 38,804.80 × 21,807.24
  4. Step 4: Simplify right side
    26,016x = 846,225,586.75
  5. Step 5: Solve for x
    x = 846,225,586.75/26,016
  6. Step 6: Final answer
    x = 32,527.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.