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Finding the Fourth Proportional to 14,133.64, 19,502.98 and 8,167.23

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Solution

The fourth proportional to 14,133.64, 19,502.98 and 8,167.23 is: 11,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.64 : 19,502.98 = 8,167.23 : x
  2. Step 2: Convert to fraction form
    14,133.64/19,502.98 = 8,167.23/x
  3. Step 3: Cross multiply
    14,133.64x = 19,502.98 × 8,167.23
  4. Step 4: Simplify right side
    14,133.64x = 159,285,302.93
  5. Step 5: Solve for x
    x = 159,285,302.93/14,133.64
  6. Step 6: Final answer
    x = 11,269.94

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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.