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Finding the Fourth Proportional to 14,872.11, 22,313.03 and 11,596.47

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Solution

The fourth proportional to 14,872.11, 22,313.03 and 11,596.47 is: 17,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.11 : 22,313.03 = 11,596.47 : x
  2. Step 2: Convert to fraction form
    14,872.11/22,313.03 = 11,596.47/x
  3. Step 3: Cross multiply
    14,872.11x = 22,313.03 × 11,596.47
  4. Step 4: Simplify right side
    14,872.11x = 258,752,325.02
  5. Step 5: Solve for x
    x = 258,752,325.02/14,872.11
  6. Step 6: Final answer
    x = 17,398.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.