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Finding the Fourth Proportional to 15,983, 22,056.69 and 8,813.17

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Solution

The fourth proportional to 15,983, 22,056.69 and 8,813.17 is: 12,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983 : 22,056.69 = 8,813.17 : x
  2. Step 2: Convert to fraction form
    15,983/22,056.69 = 8,813.17/x
  3. Step 3: Cross multiply
    15,983x = 22,056.69 × 8,813.17
  4. Step 4: Simplify right side
    15,983x = 194,389,358.61
  5. Step 5: Solve for x
    x = 194,389,358.61/15,983
  6. Step 6: Final answer
    x = 12,162.26

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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.