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Finding the Fourth Proportional to 12,730.40, 17,567.43 and 7,065.38

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Solution

The fourth proportional to 12,730.40, 17,567.43 and 7,065.38 is: 9,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.40 : 17,567.43 = 7,065.38 : x
  2. Step 2: Convert to fraction form
    12,730.40/17,567.43 = 7,065.38/x
  3. Step 3: Cross multiply
    12,730.40x = 17,567.43 × 7,065.38
  4. Step 4: Simplify right side
    12,730.40x = 124,120,533.25
  5. Step 5: Solve for x
    x = 124,120,533.25/12,730.40
  6. Step 6: Final answer
    x = 9,749.94

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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.