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Finding the Fourth Proportional to 12,509.72, 17,267.75 and 7,206.65

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Solution

The fourth proportional to 12,509.72, 17,267.75 and 7,206.65 is: 9,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.72 : 17,267.75 = 7,206.65 : x
  2. Step 2: Convert to fraction form
    12,509.72/17,267.75 = 7,206.65/x
  3. Step 3: Cross multiply
    12,509.72x = 17,267.75 × 7,206.65
  4. Step 4: Simplify right side
    12,509.72x = 124,442,508.17
  5. Step 5: Solve for x
    x = 124,442,508.17/12,509.72
  6. Step 6: Final answer
    x = 9,947.67

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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.