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Finding the Fourth Proportional to 16,384.25, 24,570.13 and 5,852.31

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Solution

The fourth proportional to 16,384.25, 24,570.13 and 5,852.31 is: 8,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.25 : 24,570.13 = 5,852.31 : x
  2. Step 2: Convert to fraction form
    16,384.25/24,570.13 = 5,852.31/x
  3. Step 3: Cross multiply
    16,384.25x = 24,570.13 × 5,852.31
  4. Step 4: Simplify right side
    16,384.25x = 143,791,988.24
  5. Step 5: Solve for x
    x = 143,791,988.24/16,384.25
  6. Step 6: Final answer
    x = 8,776.23

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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.