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Finding the Fourth Proportional to 14,526.72, 20,058.12 and 11,164.20

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Solution

The fourth proportional to 14,526.72, 20,058.12 and 11,164.20 is: 15,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.72 : 20,058.12 = 11,164.20 : x
  2. Step 2: Convert to fraction form
    14,526.72/20,058.12 = 11,164.20/x
  3. Step 3: Cross multiply
    14,526.72x = 20,058.12 × 11,164.20
  4. Step 4: Simplify right side
    14,526.72x = 223,932,863.30
  5. Step 5: Solve for x
    x = 223,932,863.30/14,526.72
  6. Step 6: Final answer
    x = 15,415.24

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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.