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Finding the Fourth Proportional to 21,987.76, 30,326.50 and 13,813.74

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Solution

The fourth proportional to 21,987.76, 30,326.50 and 13,813.74 is: 19,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.76 : 30,326.50 = 13,813.74 : x
  2. Step 2: Convert to fraction form
    21,987.76/30,326.50 = 13,813.74/x
  3. Step 3: Cross multiply
    21,987.76x = 30,326.50 × 13,813.74
  4. Step 4: Simplify right side
    21,987.76x = 418,922,281.02
  5. Step 5: Solve for x
    x = 418,922,281.02/21,987.76
  6. Step 6: Final answer
    x = 19,052.53

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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.