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Finding the Fourth Proportional to 13,033.31, 17,985.93 and 7,065.11

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Solution

The fourth proportional to 13,033.31, 17,985.93 and 7,065.11 is: 9,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.31 : 17,985.93 = 7,065.11 : x
  2. Step 2: Convert to fraction form
    13,033.31/17,985.93 = 7,065.11/x
  3. Step 3: Cross multiply
    13,033.31x = 17,985.93 × 7,065.11
  4. Step 4: Simplify right side
    13,033.31x = 127,072,573.90
  5. Step 5: Solve for x
    x = 127,072,573.90/13,033.31
  6. Step 6: Final answer
    x = 9,749.83

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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.