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Finding the Fourth Proportional to 13,438, 20,058.37 and 12,448.39

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Solution

The fourth proportional to 13,438, 20,058.37 and 12,448.39 is: 18,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438 : 20,058.37 = 12,448.39 : x
  2. Step 2: Convert to fraction form
    13,438/20,058.37 = 12,448.39/x
  3. Step 3: Cross multiply
    13,438x = 20,058.37 × 12,448.39
  4. Step 4: Simplify right side
    13,438x = 249,694,412.52
  5. Step 5: Solve for x
    x = 249,694,412.52/13,438
  6. Step 6: Final answer
    x = 18,581.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.