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Finding the Fourth Proportional to 12,665.59, 17,476.63 and 7,628.81

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Solution

The fourth proportional to 12,665.59, 17,476.63 and 7,628.81 is: 10,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.59 : 17,476.63 = 7,628.81 : x
  2. Step 2: Convert to fraction form
    12,665.59/17,476.63 = 7,628.81/x
  3. Step 3: Cross multiply
    12,665.59x = 17,476.63 × 7,628.81
  4. Step 4: Simplify right side
    12,665.59x = 133,325,783.26
  5. Step 5: Solve for x
    x = 133,325,783.26/12,665.59
  6. Step 6: Final answer
    x = 10,526.62

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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.