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Finding the Fourth Proportional to 21,323.10, 31,984.65 and 7,470.30

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Solution

The fourth proportional to 21,323.10, 31,984.65 and 7,470.30 is: 11,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.10 : 31,984.65 = 7,470.30 : x
  2. Step 2: Convert to fraction form
    21,323.10/31,984.65 = 7,470.30/x
  3. Step 3: Cross multiply
    21,323.10x = 31,984.65 × 7,470.30
  4. Step 4: Simplify right side
    21,323.10x = 238,934,930.90
  5. Step 5: Solve for x
    x = 238,934,930.90/21,323.10
  6. Step 6: Final answer
    x = 11,205.45

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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.