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Finding the Fourth Proportional to 19,346.88, 29,023.68 and 7,032

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Solution

The fourth proportional to 19,346.88, 29,023.68 and 7,032 is: 10,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346.88 : 29,023.68 = 7,032 : x
  2. Step 2: Convert to fraction form
    19,346.88/29,023.68 = 7,032/x
  3. Step 3: Cross multiply
    19,346.88x = 29,023.68 × 7,032
  4. Step 4: Simplify right side
    19,346.88x = 204,094,517.76
  5. Step 5: Solve for x
    x = 204,094,517.76/19,346.88
  6. Step 6: Final answer
    x = 10,549.22

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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.