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Finding the Fourth Proportional to 14,182.57, 21,274.84 and 4,818.77

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Solution

The fourth proportional to 14,182.57, 21,274.84 and 4,818.77 is: 7,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.57 : 21,274.84 = 4,818.77 : x
  2. Step 2: Convert to fraction form
    14,182.57/21,274.84 = 4,818.77/x
  3. Step 3: Cross multiply
    14,182.57x = 21,274.84 × 4,818.77
  4. Step 4: Simplify right side
    14,182.57x = 102,518,560.75
  5. Step 5: Solve for x
    x = 102,518,560.75/14,182.57
  6. Step 6: Final answer
    x = 7,228.49

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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.