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Finding the Fourth Proportional to 16,588.16, 22,890.96 and 9,509.64

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Solution

The fourth proportional to 16,588.16, 22,890.96 and 9,509.64 is: 13,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.16 : 22,890.96 = 9,509.64 : x
  2. Step 2: Convert to fraction form
    16,588.16/22,890.96 = 9,509.64/x
  3. Step 3: Cross multiply
    16,588.16x = 22,890.96 × 9,509.64
  4. Step 4: Simplify right side
    16,588.16x = 217,684,788.85
  5. Step 5: Solve for x
    x = 217,684,788.85/16,588.16
  6. Step 6: Final answer
    x = 13,122.90

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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.