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Finding the Fourth Proportional to 13,465.47, 18,581.40 and 8,429.46

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Solution

The fourth proportional to 13,465.47, 18,581.40 and 8,429.46 is: 11,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.47 : 18,581.40 = 8,429.46 : x
  2. Step 2: Convert to fraction form
    13,465.47/18,581.40 = 8,429.46/x
  3. Step 3: Cross multiply
    13,465.47x = 18,581.40 × 8,429.46
  4. Step 4: Simplify right side
    13,465.47x = 156,631,168.04
  5. Step 5: Solve for x
    x = 156,631,168.04/13,465.47
  6. Step 6: Final answer
    x = 11,632.06

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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.