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Finding the Fourth Proportional to 14,806.47, 22,215.86 and 6,482.20

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Solution

The fourth proportional to 14,806.47, 22,215.86 and 6,482.20 is: 9,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.47 : 22,215.86 = 6,482.20 : x
  2. Step 2: Convert to fraction form
    14,806.47/22,215.86 = 6,482.20/x
  3. Step 3: Cross multiply
    14,806.47x = 22,215.86 × 6,482.20
  4. Step 4: Simplify right side
    14,806.47x = 144,007,647.69
  5. Step 5: Solve for x
    x = 144,007,647.69/14,806.47
  6. Step 6: Final answer
    x = 9,725.99

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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.