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Finding the Fourth Proportional to 16,089.66, 24,143.13 and 6,853.50

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Solution

The fourth proportional to 16,089.66, 24,143.13 and 6,853.50 is: 10,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.66 : 24,143.13 = 6,853.50 : x
  2. Step 2: Convert to fraction form
    16,089.66/24,143.13 = 6,853.50/x
  3. Step 3: Cross multiply
    16,089.66x = 24,143.13 × 6,853.50
  4. Step 4: Simplify right side
    16,089.66x = 165,464,941.46
  5. Step 5: Solve for x
    x = 165,464,941.46/16,089.66
  6. Step 6: Final answer
    x = 10,283.93

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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.