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Finding the Fourth Proportional to 14,952.50, 22,404.80 and 11,438.25

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Solution

The fourth proportional to 14,952.50, 22,404.80 and 11,438.25 is: 17,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.50 : 22,404.80 = 11,438.25 : x
  2. Step 2: Convert to fraction form
    14,952.50/22,404.80 = 11,438.25/x
  3. Step 3: Cross multiply
    14,952.50x = 22,404.80 × 11,438.25
  4. Step 4: Simplify right side
    14,952.50x = 256,271,732.20
  5. Step 5: Solve for x
    x = 256,271,732.20/14,952.50
  6. Step 6: Final answer
    x = 17,139.05

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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.