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Finding the Fourth Proportional to 23,789, 32,828.82 and 14,357.57

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Solution

The fourth proportional to 23,789, 32,828.82 and 14,357.57 is: 19,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789 : 32,828.82 = 14,357.57 : x
  2. Step 2: Convert to fraction form
    23,789/32,828.82 = 14,357.57/x
  3. Step 3: Cross multiply
    23,789x = 32,828.82 × 14,357.57
  4. Step 4: Simplify right side
    23,789x = 471,342,081.17
  5. Step 5: Solve for x
    x = 471,342,081.17/23,789
  6. Step 6: Final answer
    x = 19,813.45

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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.