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Finding the Fourth Proportional to 22,833, 31,529.57 and 14,349.82

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Solution

The fourth proportional to 22,833, 31,529.57 and 14,349.82 is: 19,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833 : 31,529.57 = 14,349.82 : x
  2. Step 2: Convert to fraction form
    22,833/31,529.57 = 14,349.82/x
  3. Step 3: Cross multiply
    22,833x = 31,529.57 × 14,349.82
  4. Step 4: Simplify right side
    22,833x = 452,443,654.18
  5. Step 5: Solve for x
    x = 452,443,654.18/22,833
  6. Step 6: Final answer
    x = 19,815.34

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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.