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Finding the Fourth Proportional to 14,323.52, 21,488.16 and 4,462.40

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Solution

The fourth proportional to 14,323.52, 21,488.16 and 4,462.40 is: 6,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.52 : 21,488.16 = 4,462.40 : x
  2. Step 2: Convert to fraction form
    14,323.52/21,488.16 = 4,462.40/x
  3. Step 3: Cross multiply
    14,323.52x = 21,488.16 × 4,462.40
  4. Step 4: Simplify right side
    14,323.52x = 95,888,765.18
  5. Step 5: Solve for x
    x = 95,888,765.18/14,323.52
  6. Step 6: Final answer
    x = 6,694.50

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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.