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Finding the Fourth Proportional to 12,509.09, 17,266.89 and 7,206.02

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Solution

The fourth proportional to 12,509.09, 17,266.89 and 7,206.02 is: 9,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.09 : 17,266.89 = 7,206.02 : x
  2. Step 2: Convert to fraction form
    12,509.09/17,266.89 = 7,206.02/x
  3. Step 3: Cross multiply
    12,509.09x = 17,266.89 × 7,206.02
  4. Step 4: Simplify right side
    12,509.09x = 124,425,518.65
  5. Step 5: Solve for x
    x = 124,425,518.65/12,509.09
  6. Step 6: Final answer
    x = 9,946.81

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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.