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Finding the Fourth Proportional to 21,478.81, 32,210.49 and 7,435.03

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Solution

The fourth proportional to 21,478.81, 32,210.49 and 7,435.03 is: 11,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.81 : 32,210.49 = 7,435.03 : x
  2. Step 2: Convert to fraction form
    21,478.81/32,210.49 = 7,435.03/x
  3. Step 3: Cross multiply
    21,478.81x = 32,210.49 × 7,435.03
  4. Step 4: Simplify right side
    21,478.81x = 239,485,959.46
  5. Step 5: Solve for x
    x = 239,485,959.46/21,478.81
  6. Step 6: Final answer
    x = 11,149.87

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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.