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Finding the Fourth Proportional to 16,368.96, 22,588.32 and 9,658.29

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Solution

The fourth proportional to 16,368.96, 22,588.32 and 9,658.29 is: 13,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368.96 : 22,588.32 = 9,658.29 : x
  2. Step 2: Convert to fraction form
    16,368.96/22,588.32 = 9,658.29/x
  3. Step 3: Cross multiply
    16,368.96x = 22,588.32 × 9,658.29
  4. Step 4: Simplify right side
    16,368.96x = 218,164,545.17
  5. Step 5: Solve for x
    x = 218,164,545.17/16,368.96
  6. Step 6: Final answer
    x = 13,327.94

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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.