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Finding the Fourth Proportional to 17,411.60, 26,106.60 and 10,012.40

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Solution

The fourth proportional to 17,411.60, 26,106.60 and 10,012.40 is: 15,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.60 : 26,106.60 = 10,012.40 : x
  2. Step 2: Convert to fraction form
    17,411.60/26,106.60 = 10,012.40/x
  3. Step 3: Cross multiply
    17,411.60x = 26,106.60 × 10,012.40
  4. Step 4: Simplify right side
    17,411.60x = 261,389,721.84
  5. Step 5: Solve for x
    x = 261,389,721.84/17,411.60
  6. Step 6: Final answer
    x = 15,012.39

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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.