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Finding the Fourth Proportional to 14,008.34, 19,331.51 and 7,720.72

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Solution

The fourth proportional to 14,008.34, 19,331.51 and 7,720.72 is: 10,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.34 : 19,331.51 = 7,720.72 : x
  2. Step 2: Convert to fraction form
    14,008.34/19,331.51 = 7,720.72/x
  3. Step 3: Cross multiply
    14,008.34x = 19,331.51 × 7,720.72
  4. Step 4: Simplify right side
    14,008.34x = 149,253,132.38
  5. Step 5: Solve for x
    x = 149,253,132.38/14,008.34
  6. Step 6: Final answer
    x = 10,654.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.