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Finding the Fourth Proportional to 16,094, 24,143.16 and 6,862.16

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Solution

The fourth proportional to 16,094, 24,143.16 and 6,862.16 is: 10,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094 : 24,143.16 = 6,862.16 : x
  2. Step 2: Convert to fraction form
    16,094/24,143.16 = 6,862.16/x
  3. Step 3: Cross multiply
    16,094x = 24,143.16 × 6,862.16
  4. Step 4: Simplify right side
    16,094x = 165,674,226.83
  5. Step 5: Solve for x
    x = 165,674,226.83/16,094
  6. Step 6: Final answer
    x = 10,294.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.