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Finding the Fourth Proportional to 14,008.17, 19,331.28 and 7,720.56

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Solution

The fourth proportional to 14,008.17, 19,331.28 and 7,720.56 is: 10,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.17 : 19,331.28 = 7,720.56 : x
  2. Step 2: Convert to fraction form
    14,008.17/19,331.28 = 7,720.56/x
  3. Step 3: Cross multiply
    14,008.17x = 19,331.28 × 7,720.56
  4. Step 4: Simplify right side
    14,008.17x = 149,248,307.12
  5. Step 5: Solve for x
    x = 149,248,307.12/14,008.17
  6. Step 6: Final answer
    x = 10,654.38

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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.