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Finding the Fourth Proportional to 12,802.24, 17,667.84 and 7,214.08

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Solution

The fourth proportional to 12,802.24, 17,667.84 and 7,214.08 is: 9,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.24 : 17,667.84 = 7,214.08 : x
  2. Step 2: Convert to fraction form
    12,802.24/17,667.84 = 7,214.08/x
  3. Step 3: Cross multiply
    12,802.24x = 17,667.84 × 7,214.08
  4. Step 4: Simplify right side
    12,802.24x = 127,457,211.19
  5. Step 5: Solve for x
    x = 127,457,211.19/12,802.24
  6. Step 6: Final answer
    x = 9,955.85

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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.