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Finding the Fourth Proportional to 12,442.35, 17,164.40 and 7,962.51

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Solution

The fourth proportional to 12,442.35, 17,164.40 and 7,962.51 is: 10,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.35 : 17,164.40 = 7,962.51 : x
  2. Step 2: Convert to fraction form
    12,442.35/17,164.40 = 7,962.51/x
  3. Step 3: Cross multiply
    12,442.35x = 17,164.40 × 7,962.51
  4. Step 4: Simplify right side
    12,442.35x = 136,671,666.83
  5. Step 5: Solve for x
    x = 136,671,666.83/12,442.35
  6. Step 6: Final answer
    x = 10,984.39

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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.