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Finding the Fourth Proportional to 14,934.08, 22,405.98 and 7,143.50

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Solution

The fourth proportional to 14,934.08, 22,405.98 and 7,143.50 is: 10,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,934.08 : 22,405.98 = 7,143.50 : x
  2. Step 2: Convert to fraction form
    14,934.08/22,405.98 = 7,143.50/x
  3. Step 3: Cross multiply
    14,934.08x = 22,405.98 × 7,143.50
  4. Step 4: Simplify right side
    14,934.08x = 160,057,118.13
  5. Step 5: Solve for x
    x = 160,057,118.13/14,934.08
  6. Step 6: Final answer
    x = 10,717.57

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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.