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Finding the Fourth Proportional to 12,730.10, 17,567.55 and 7,064.69

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Solution

The fourth proportional to 12,730.10, 17,567.55 and 7,064.69 is: 9,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.10 : 17,567.55 = 7,064.69 : x
  2. Step 2: Convert to fraction form
    12,730.10/17,567.55 = 7,064.69/x
  3. Step 3: Cross multiply
    12,730.10x = 17,567.55 × 7,064.69
  4. Step 4: Simplify right side
    12,730.10x = 124,109,206.97
  5. Step 5: Solve for x
    x = 124,109,206.97/12,730.10
  6. Step 6: Final answer
    x = 9,749.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.