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Finding the Fourth Proportional to 16,536.29, 22,820.06 and 9,462.69

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Solution

The fourth proportional to 16,536.29, 22,820.06 and 9,462.69 is: 13,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.29 : 22,820.06 = 9,462.69 : x
  2. Step 2: Convert to fraction form
    16,536.29/22,820.06 = 9,462.69/x
  3. Step 3: Cross multiply
    16,536.29x = 22,820.06 × 9,462.69
  4. Step 4: Simplify right side
    16,536.29x = 215,939,177.22
  5. Step 5: Solve for x
    x = 215,939,177.22/16,536.29
  6. Step 6: Final answer
    x = 13,058.51

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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.