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Finding the Fourth Proportional to 22,888, 31,583.71 and 13,934.51

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Solution

The fourth proportional to 22,888, 31,583.71 and 13,934.51 is: 19,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,888 : 31,583.71 = 13,934.51 : x
  2. Step 2: Convert to fraction form
    22,888/31,583.71 = 13,934.51/x
  3. Step 3: Cross multiply
    22,888x = 31,583.71 × 13,934.51
  4. Step 4: Simplify right side
    22,888x = 440,103,522.83
  5. Step 5: Solve for x
    x = 440,103,522.83/22,888
  6. Step 6: Final answer
    x = 19,228.57

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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.