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Finding the Fourth Proportional to 22,933.53, 31,648.59 and 13,857.65

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Solution

The fourth proportional to 22,933.53, 31,648.59 and 13,857.65 is: 19,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.53 : 31,648.59 = 13,857.65 : x
  2. Step 2: Convert to fraction form
    22,933.53/31,648.59 = 13,857.65/x
  3. Step 3: Cross multiply
    22,933.53x = 31,648.59 × 13,857.65
  4. Step 4: Simplify right side
    22,933.53x = 438,575,043.65
  5. Step 5: Solve for x
    x = 438,575,043.65/22,933.53
  6. Step 6: Final answer
    x = 19,123.75

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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.