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Finding the Fourth Proportional to 21,806.40, 32,710.08 and 6,225.20

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Solution

The fourth proportional to 21,806.40, 32,710.08 and 6,225.20 is: 9,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.40 : 32,710.08 = 6,225.20 : x
  2. Step 2: Convert to fraction form
    21,806.40/32,710.08 = 6,225.20/x
  3. Step 3: Cross multiply
    21,806.40x = 32,710.08 × 6,225.20
  4. Step 4: Simplify right side
    21,806.40x = 203,626,790.02
  5. Step 5: Solve for x
    x = 203,626,790.02/21,806.40
  6. Step 6: Final answer
    x = 9,337.94

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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.