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Finding the Fourth Proportional to 21,598.08, 32,402.56 and 6,806.40

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Solution

The fourth proportional to 21,598.08, 32,402.56 and 6,806.40 is: 10,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.08 : 32,402.56 = 6,806.40 : x
  2. Step 2: Convert to fraction form
    21,598.08/32,402.56 = 6,806.40/x
  3. Step 3: Cross multiply
    21,598.08x = 32,402.56 × 6,806.40
  4. Step 4: Simplify right side
    21,598.08x = 220,544,784.38
  5. Step 5: Solve for x
    x = 220,544,784.38/21,598.08
  6. Step 6: Final answer
    x = 10,211.31

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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.