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Finding the Fourth Proportional to 12,802.42, 17,667.61 and 7,501.06

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Solution

The fourth proportional to 12,802.42, 17,667.61 and 7,501.06 is: 10,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.42 : 17,667.61 = 7,501.06 : x
  2. Step 2: Convert to fraction form
    12,802.42/17,667.61 = 7,501.06/x
  3. Step 3: Cross multiply
    12,802.42x = 17,667.61 × 7,501.06
  4. Step 4: Simplify right side
    12,802.42x = 132,525,802.67
  5. Step 5: Solve for x
    x = 132,525,802.67/12,802.42
  6. Step 6: Final answer
    x = 10,351.62

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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.