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Finding the Fourth Proportional to 16,515.84, 22,788.34 and 9,803.92

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Solution

The fourth proportional to 16,515.84, 22,788.34 and 9,803.92 is: 13,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.84 : 22,788.34 = 9,803.92 : x
  2. Step 2: Convert to fraction form
    16,515.84/22,788.34 = 9,803.92/x
  3. Step 3: Cross multiply
    16,515.84x = 22,788.34 × 9,803.92
  4. Step 4: Simplify right side
    16,515.84x = 223,415,062.29
  5. Step 5: Solve for x
    x = 223,415,062.29/16,515.84
  6. Step 6: Final answer
    x = 13,527.32

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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.