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Finding the Fourth Proportional to 14,412.72, 21,605.89 and 5,047.62

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Solution

The fourth proportional to 14,412.72, 21,605.89 and 5,047.62 is: 7,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.72 : 21,605.89 = 5,047.62 : x
  2. Step 2: Convert to fraction form
    14,412.72/21,605.89 = 5,047.62/x
  3. Step 3: Cross multiply
    14,412.72x = 21,605.89 × 5,047.62
  4. Step 4: Simplify right side
    14,412.72x = 109,058,322.48
  5. Step 5: Solve for x
    x = 109,058,322.48/14,412.72
  6. Step 6: Final answer
    x = 7,566.81

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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.