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Finding the Fourth Proportional to 19,597.68, 27,044.02 and 10,645

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Solution

The fourth proportional to 19,597.68, 27,044.02 and 10,645 is: 14,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.68 : 27,044.02 = 10,645 : x
  2. Step 2: Convert to fraction form
    19,597.68/27,044.02 = 10,645/x
  3. Step 3: Cross multiply
    19,597.68x = 27,044.02 × 10,645
  4. Step 4: Simplify right side
    19,597.68x = 287,883,592.90
  5. Step 5: Solve for x
    x = 287,883,592.90/19,597.68
  6. Step 6: Final answer
    x = 14,689.68

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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.