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Finding the Fourth Proportional to 14,808.78, 22,214.32 and 4,948.09

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Solution

The fourth proportional to 14,808.78, 22,214.32 and 4,948.09 is: 7,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.78 : 22,214.32 = 4,948.09 : x
  2. Step 2: Convert to fraction form
    14,808.78/22,214.32 = 4,948.09/x
  3. Step 3: Cross multiply
    14,808.78x = 22,214.32 × 4,948.09
  4. Step 4: Simplify right side
    14,808.78x = 109,918,474.65
  5. Step 5: Solve for x
    x = 109,918,474.65/14,808.78
  6. Step 6: Final answer
    x = 7,422.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.