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Finding the Fourth Proportional to 14,846.78, 22,275.93 and 5,613.50

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Solution

The fourth proportional to 14,846.78, 22,275.93 and 5,613.50 is: 8,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.78 : 22,275.93 = 5,613.50 : x
  2. Step 2: Convert to fraction form
    14,846.78/22,275.93 = 5,613.50/x
  3. Step 3: Cross multiply
    14,846.78x = 22,275.93 × 5,613.50
  4. Step 4: Simplify right side
    14,846.78x = 125,045,933.06
  5. Step 5: Solve for x
    x = 125,045,933.06/14,846.78
  6. Step 6: Final answer
    x = 8,422.43

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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.