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Finding the Fourth Proportional to 14,233.84, 19,616.64 and 9,445.33

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Solution

The fourth proportional to 14,233.84, 19,616.64 and 9,445.33 is: 13,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.84 : 19,616.64 = 9,445.33 : x
  2. Step 2: Convert to fraction form
    14,233.84/19,616.64 = 9,445.33/x
  3. Step 3: Cross multiply
    14,233.84x = 19,616.64 × 9,445.33
  4. Step 4: Simplify right side
    14,233.84x = 185,285,540.21
  5. Step 5: Solve for x
    x = 185,285,540.21/14,233.84
  6. Step 6: Final answer
    x = 13,017.26

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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.