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Finding the Fourth Proportional to 42,806.20, 64,216.16 and 13,217.08

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Solution

The fourth proportional to 42,806.20, 64,216.16 and 13,217.08 is: 19,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806.20 : 64,216.16 = 13,217.08 : x
  2. Step 2: Convert to fraction form
    42,806.20/64,216.16 = 13,217.08/x
  3. Step 3: Cross multiply
    42,806.20x = 64,216.16 × 13,217.08
  4. Step 4: Simplify right side
    42,806.20x = 848,750,124.01
  5. Step 5: Solve for x
    x = 848,750,124.01/42,806.20
  6. Step 6: Final answer
    x = 19,827.74

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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.