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Finding the Fourth Proportional to 15,161.40, 22,714.39 and 10,991.07

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Solution

The fourth proportional to 15,161.40, 22,714.39 and 10,991.07 is: 16,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,161.40 : 22,714.39 = 10,991.07 : x
  2. Step 2: Convert to fraction form
    15,161.40/22,714.39 = 10,991.07/x
  3. Step 3: Cross multiply
    15,161.40x = 22,714.39 × 10,991.07
  4. Step 4: Simplify right side
    15,161.40x = 249,655,450.50
  5. Step 5: Solve for x
    x = 249,655,450.50/15,161.40
  6. Step 6: Final answer
    x = 16,466.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.