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Finding the Fourth Proportional to 13,580.49, 18,706.02 and 9,594.68

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Solution

The fourth proportional to 13,580.49, 18,706.02 and 9,594.68 is: 13,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.49 : 18,706.02 = 9,594.68 : x
  2. Step 2: Convert to fraction form
    13,580.49/18,706.02 = 9,594.68/x
  3. Step 3: Cross multiply
    13,580.49x = 18,706.02 × 9,594.68
  4. Step 4: Simplify right side
    13,580.49x = 179,478,275.97
  5. Step 5: Solve for x
    x = 179,478,275.97/13,580.49
  6. Step 6: Final answer
    x = 13,215.89

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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.