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Finding the Fourth Proportional to 11,807.88, 17,736.42 and 9,962.58

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Solution

The fourth proportional to 11,807.88, 17,736.42 and 9,962.58 is: 14,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.88 : 17,736.42 = 9,962.58 : x
  2. Step 2: Convert to fraction form
    11,807.88/17,736.42 = 9,962.58/x
  3. Step 3: Cross multiply
    11,807.88x = 17,736.42 × 9,962.58
  4. Step 4: Simplify right side
    11,807.88x = 176,700,503.16
  5. Step 5: Solve for x
    x = 176,700,503.16/11,807.88
  6. Step 6: Final answer
    x = 14,964.63

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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.