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Finding the Fourth Proportional to 21,255.96, 31,885.74 and 6,465

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Solution

The fourth proportional to 21,255.96, 31,885.74 and 6,465 is: 9,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.96 : 31,885.74 = 6,465 : x
  2. Step 2: Convert to fraction form
    21,255.96/31,885.74 = 6,465/x
  3. Step 3: Cross multiply
    21,255.96x = 31,885.74 × 6,465
  4. Step 4: Simplify right side
    21,255.96x = 206,141,309.10
  5. Step 5: Solve for x
    x = 206,141,309.10/21,255.96
  6. Step 6: Final answer
    x = 9,698.05

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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.