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Finding the Fourth Proportional to 19,732.64, 29,581.68 and 7,412

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Solution

The fourth proportional to 19,732.64, 29,581.68 and 7,412 is: 11,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.64 : 29,581.68 = 7,412 : x
  2. Step 2: Convert to fraction form
    19,732.64/29,581.68 = 7,412/x
  3. Step 3: Cross multiply
    19,732.64x = 29,581.68 × 7,412
  4. Step 4: Simplify right side
    19,732.64x = 219,259,412.16
  5. Step 5: Solve for x
    x = 219,259,412.16/19,732.64
  6. Step 6: Final answer
    x = 11,111.51

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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.