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Finding the Fourth Proportional to 14,515.68, 19,901.17 and 14,253.24

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Solution

The fourth proportional to 14,515.68, 19,901.17 and 14,253.24 is: 19,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.68 : 19,901.17 = 14,253.24 : x
  2. Step 2: Convert to fraction form
    14,515.68/19,901.17 = 14,253.24/x
  3. Step 3: Cross multiply
    14,515.68x = 19,901.17 × 14,253.24
  4. Step 4: Simplify right side
    14,515.68x = 283,656,152.29
  5. Step 5: Solve for x
    x = 283,656,152.29/14,515.68
  6. Step 6: Final answer
    x = 19,541.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.