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Finding the Fourth Proportional to 21,698.53, 32,514.31 and 14,650.93

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Solution

The fourth proportional to 21,698.53, 32,514.31 and 14,650.93 is: 21,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.53 : 32,514.31 = 14,650.93 : x
  2. Step 2: Convert to fraction form
    21,698.53/32,514.31 = 14,650.93/x
  3. Step 3: Cross multiply
    21,698.53x = 32,514.31 × 14,650.93
  4. Step 4: Simplify right side
    21,698.53x = 476,364,755.87
  5. Step 5: Solve for x
    x = 476,364,755.87/21,698.53
  6. Step 6: Final answer
    x = 21,953.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.