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Finding the Fourth Proportional to 19,752.14, 29,623.82 and 5,709.11

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Solution

The fourth proportional to 19,752.14, 29,623.82 and 5,709.11 is: 8,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.14 : 29,623.82 = 5,709.11 : x
  2. Step 2: Convert to fraction form
    19,752.14/29,623.82 = 5,709.11/x
  3. Step 3: Cross multiply
    19,752.14x = 29,623.82 × 5,709.11
  4. Step 4: Simplify right side
    19,752.14x = 169,125,470.34
  5. Step 5: Solve for x
    x = 169,125,470.34/19,752.14
  6. Step 6: Final answer
    x = 8,562.39

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1.5x scale

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.