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Finding the Fourth Proportional to 21,407.80, 32,111.83 and 5,612.69

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Solution

The fourth proportional to 21,407.80, 32,111.83 and 5,612.69 is: 8,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.80 : 32,111.83 = 5,612.69 : x
  2. Step 2: Convert to fraction form
    21,407.80/32,111.83 = 5,612.69/x
  3. Step 3: Cross multiply
    21,407.80x = 32,111.83 × 5,612.69
  4. Step 4: Simplify right side
    21,407.80x = 180,233,565.52
  5. Step 5: Solve for x
    x = 180,233,565.52/21,407.80
  6. Step 6: Final answer
    x = 8,419.06

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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.