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Finding the Fourth Proportional to 19,966.78, 29,929.11 and 7,478.65

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Solution

The fourth proportional to 19,966.78, 29,929.11 and 7,478.65 is: 11,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966.78 : 29,929.11 = 7,478.65 : x
  2. Step 2: Convert to fraction form
    19,966.78/29,929.11 = 7,478.65/x
  3. Step 3: Cross multiply
    19,966.78x = 29,929.11 × 7,478.65
  4. Step 4: Simplify right side
    19,966.78x = 223,829,338.50
  5. Step 5: Solve for x
    x = 223,829,338.50/19,966.78
  6. Step 6: Final answer
    x = 11,210.09

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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.