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Finding the Fourth Proportional to 14,941, 22,411.50 and 5,580.64

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Solution

The fourth proportional to 14,941, 22,411.50 and 5,580.64 is: 8,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,941 : 22,411.50 = 5,580.64 : x
  2. Step 2: Convert to fraction form
    14,941/22,411.50 = 5,580.64/x
  3. Step 3: Cross multiply
    14,941x = 22,411.50 × 5,580.64
  4. Step 4: Simplify right side
    14,941x = 125,070,513.36
  5. Step 5: Solve for x
    x = 125,070,513.36/14,941
  6. Step 6: Final answer
    x = 8,370.96

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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.