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Finding the Fourth Proportional to 22,877.69, 31,569.47 and 12,803.81

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Solution

The fourth proportional to 22,877.69, 31,569.47 and 12,803.81 is: 17,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.69 : 31,569.47 = 12,803.81 : x
  2. Step 2: Convert to fraction form
    22,877.69/31,569.47 = 12,803.81/x
  3. Step 3: Cross multiply
    22,877.69x = 31,569.47 × 12,803.81
  4. Step 4: Simplify right side
    22,877.69x = 404,209,510.59
  5. Step 5: Solve for x
    x = 404,209,510.59/22,877.69
  6. Step 6: Final answer
    x = 17,668.29

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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.