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Finding the Fourth Proportional to 22,696.19, 31,320.86 and 13,136.07

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Solution

The fourth proportional to 22,696.19, 31,320.86 and 13,136.07 is: 18,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.19 : 31,320.86 = 13,136.07 : x
  2. Step 2: Convert to fraction form
    22,696.19/31,320.86 = 13,136.07/x
  3. Step 3: Cross multiply
    22,696.19x = 31,320.86 × 13,136.07
  4. Step 4: Simplify right side
    22,696.19x = 411,433,009.42
  5. Step 5: Solve for x
    x = 411,433,009.42/22,696.19
  6. Step 6: Final answer
    x = 18,127.84

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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.