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Finding the Fourth Proportional to 19,751.82, 29,583.99 and 19,353.30

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Solution

The fourth proportional to 19,751.82, 29,583.99 and 19,353.30 is: 28,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.82 : 29,583.99 = 19,353.30 : x
  2. Step 2: Convert to fraction form
    19,751.82/29,583.99 = 19,353.30/x
  3. Step 3: Cross multiply
    19,751.82x = 29,583.99 × 19,353.30
  4. Step 4: Simplify right side
    19,751.82x = 572,547,833.67
  5. Step 5: Solve for x
    x = 572,547,833.67/19,751.82
  6. Step 6: Final answer
    x = 28,987.09

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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.