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Finding the Fourth Proportional to 22,842.88, 31,515.36 and 13,887.52

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Solution

The fourth proportional to 22,842.88, 31,515.36 and 13,887.52 is: 19,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.88 : 31,515.36 = 13,887.52 : x
  2. Step 2: Convert to fraction form
    22,842.88/31,515.36 = 13,887.52/x
  3. Step 3: Cross multiply
    22,842.88x = 31,515.36 × 13,887.52
  4. Step 4: Simplify right side
    22,842.88x = 437,670,192.31
  5. Step 5: Solve for x
    x = 437,670,192.31/22,842.88
  6. Step 6: Final answer
    x = 19,160.03

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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.