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Finding the Fourth Proportional to 14,808.33, 20,441.16 and 9,144

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Solution

The fourth proportional to 14,808.33, 20,441.16 and 9,144 is: 12,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.33 : 20,441.16 = 9,144 : x
  2. Step 2: Convert to fraction form
    14,808.33/20,441.16 = 9,144/x
  3. Step 3: Cross multiply
    14,808.33x = 20,441.16 × 9,144
  4. Step 4: Simplify right side
    14,808.33x = 186,913,967.04
  5. Step 5: Solve for x
    x = 186,913,967.04/14,808.33
  6. Step 6: Final answer
    x = 12,622.22

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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.