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Finding the Fourth Proportional to 21,780.64, 30,046.98 and 14,709.52

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Solution

The fourth proportional to 21,780.64, 30,046.98 and 14,709.52 is: 20,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.64 : 30,046.98 = 14,709.52 : x
  2. Step 2: Convert to fraction form
    21,780.64/30,046.98 = 14,709.52/x
  3. Step 3: Cross multiply
    21,780.64x = 30,046.98 × 14,709.52
  4. Step 4: Simplify right side
    21,780.64x = 441,976,653.25
  5. Step 5: Solve for x
    x = 441,976,653.25/21,780.64
  6. Step 6: Final answer
    x = 20,292.18

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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.