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Finding the Fourth Proportional to 16,444.16, 22,711.84 and 11,987.84

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Solution

The fourth proportional to 16,444.16, 22,711.84 and 11,987.84 is: 16,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,444.16 : 22,711.84 = 11,987.84 : x
  2. Step 2: Convert to fraction form
    16,444.16/22,711.84 = 11,987.84/x
  3. Step 3: Cross multiply
    16,444.16x = 22,711.84 × 11,987.84
  4. Step 4: Simplify right side
    16,444.16x = 272,265,904.03
  5. Step 5: Solve for x
    x = 272,265,904.03/16,444.16
  6. Step 6: Final answer
    x = 16,557.00

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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.