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Finding the Fourth Proportional to 13,384.71, 18,477.32 and 9,409.23

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Solution

The fourth proportional to 13,384.71, 18,477.32 and 9,409.23 is: 12,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.71 : 18,477.32 = 9,409.23 : x
  2. Step 2: Convert to fraction form
    13,384.71/18,477.32 = 9,409.23/x
  3. Step 3: Cross multiply
    13,384.71x = 18,477.32 × 9,409.23
  4. Step 4: Simplify right side
    13,384.71x = 173,857,306.62
  5. Step 5: Solve for x
    x = 173,857,306.62/13,384.71
  6. Step 6: Final answer
    x = 12,989.25

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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.