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Finding the Fourth Proportional to 14,002.88, 19,325.18 and 7,716.47

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Solution

The fourth proportional to 14,002.88, 19,325.18 and 7,716.47 is: 10,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.88 : 19,325.18 = 7,716.47 : x
  2. Step 2: Convert to fraction form
    14,002.88/19,325.18 = 7,716.47/x
  3. Step 3: Cross multiply
    14,002.88x = 19,325.18 × 7,716.47
  4. Step 4: Simplify right side
    14,002.88x = 149,122,094.38
  5. Step 5: Solve for x
    x = 149,122,094.38/14,002.88
  6. Step 6: Final answer
    x = 10,649.39

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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.