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Finding the Fourth Proportional to 14,378.52, 21,567.66 and 4,518

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Solution

The fourth proportional to 14,378.52, 21,567.66 and 4,518 is: 6,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.52 : 21,567.66 = 4,518 : x
  2. Step 2: Convert to fraction form
    14,378.52/21,567.66 = 4,518/x
  3. Step 3: Cross multiply
    14,378.52x = 21,567.66 × 4,518
  4. Step 4: Simplify right side
    14,378.52x = 97,442,687.88
  5. Step 5: Solve for x
    x = 97,442,687.88/14,378.52
  6. Step 6: Final answer
    x = 6,776.96

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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.