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Finding the Fourth Proportional to 16,588.16, 22,891.52 and 9,136

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Solution

The fourth proportional to 16,588.16, 22,891.52 and 9,136 is: 12,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.16 : 22,891.52 = 9,136 : x
  2. Step 2: Convert to fraction form
    16,588.16/22,891.52 = 9,136/x
  3. Step 3: Cross multiply
    16,588.16x = 22,891.52 × 9,136
  4. Step 4: Simplify right side
    16,588.16x = 209,136,926.72
  5. Step 5: Solve for x
    x = 209,136,926.72/16,588.16
  6. Step 6: Final answer
    x = 12,607.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.