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Finding the Fourth Proportional to 13,005.39, 17,946.14 and 7,339.81

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Solution

The fourth proportional to 13,005.39, 17,946.14 and 7,339.81 is: 10,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.39 : 17,946.14 = 7,339.81 : x
  2. Step 2: Convert to fraction form
    13,005.39/17,946.14 = 7,339.81/x
  3. Step 3: Cross multiply
    13,005.39x = 17,946.14 × 7,339.81
  4. Step 4: Simplify right side
    13,005.39x = 131,721,200.73
  5. Step 5: Solve for x
    x = 131,721,200.73/13,005.39
  6. Step 6: Final answer
    x = 10,128.20

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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.