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Finding the Fourth Proportional to 16,136.32, 22,252.64 and 10,469

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Solution

The fourth proportional to 16,136.32, 22,252.64 and 10,469 is: 14,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.32 : 22,252.64 = 10,469 : x
  2. Step 2: Convert to fraction form
    16,136.32/22,252.64 = 10,469/x
  3. Step 3: Cross multiply
    16,136.32x = 22,252.64 × 10,469
  4. Step 4: Simplify right side
    16,136.32x = 232,962,888.16
  5. Step 5: Solve for x
    x = 232,962,888.16/16,136.32
  6. Step 6: Final answer
    x = 14,437.18

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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.