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Finding the Fourth Proportional to 21,524.63, 29,709.85 and 13,970.52

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Solution

The fourth proportional to 21,524.63, 29,709.85 and 13,970.52 is: 19,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.63 : 29,709.85 = 13,970.52 : x
  2. Step 2: Convert to fraction form
    21,524.63/29,709.85 = 13,970.52/x
  3. Step 3: Cross multiply
    21,524.63x = 29,709.85 × 13,970.52
  4. Step 4: Simplify right side
    21,524.63x = 415,062,053.62
  5. Step 5: Solve for x
    x = 415,062,053.62/21,524.63
  6. Step 6: Final answer
    x = 19,283.12

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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.