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Finding the Fourth Proportional to 21,407.10, 32,110.65 and 20,111.10

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Solution

The fourth proportional to 21,407.10, 32,110.65 and 20,111.10 is: 30,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.10 : 32,110.65 = 20,111.10 : x
  2. Step 2: Convert to fraction form
    21,407.10/32,110.65 = 20,111.10/x
  3. Step 3: Cross multiply
    21,407.10x = 32,110.65 × 20,111.10
  4. Step 4: Simplify right side
    21,407.10x = 645,780,493.22
  5. Step 5: Solve for x
    x = 645,780,493.22/21,407.10
  6. Step 6: Final answer
    x = 30,166.65

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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.