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Finding the Fourth Proportional to 16,588.62, 22,888.32 and 9,416.94

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Solution

The fourth proportional to 16,588.62, 22,888.32 and 9,416.94 is: 12,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.62 : 22,888.32 = 9,416.94 : x
  2. Step 2: Convert to fraction form
    16,588.62/22,888.32 = 9,416.94/x
  3. Step 3: Cross multiply
    16,588.62x = 22,888.32 × 9,416.94
  4. Step 4: Simplify right side
    16,588.62x = 215,537,936.14
  5. Step 5: Solve for x
    x = 215,537,936.14/16,588.62
  6. Step 6: Final answer
    x = 12,993.12

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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.