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Finding the Fourth Proportional to 12,159, 16,775.01 and 7,121.39

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Solution

The fourth proportional to 12,159, 16,775.01 and 7,121.39 is: 9,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159 : 16,775.01 = 7,121.39 : x
  2. Step 2: Convert to fraction form
    12,159/16,775.01 = 7,121.39/x
  3. Step 3: Cross multiply
    12,159x = 16,775.01 × 7,121.39
  4. Step 4: Simplify right side
    12,159x = 119,461,304.59
  5. Step 5: Solve for x
    x = 119,461,304.59/12,159
  6. Step 6: Final answer
    x = 9,824.93

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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.