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Finding the Fourth Proportional to 16,502.42, 22,765.29 and 9,426.98

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Solution

The fourth proportional to 16,502.42, 22,765.29 and 9,426.98 is: 13,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.42 : 22,765.29 = 9,426.98 : x
  2. Step 2: Convert to fraction form
    16,502.42/22,765.29 = 9,426.98/x
  3. Step 3: Cross multiply
    16,502.42x = 22,765.29 × 9,426.98
  4. Step 4: Simplify right side
    16,502.42x = 214,607,933.52
  5. Step 5: Solve for x
    x = 214,607,933.52/16,502.42
  6. Step 6: Final answer
    x = 13,004.63

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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.