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Finding the Fourth Proportional to 14,675.20, 21,964.20 and 10,301.20

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Solution

The fourth proportional to 14,675.20, 21,964.20 and 10,301.20 is: 15,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.20 : 21,964.20 = 10,301.20 : x
  2. Step 2: Convert to fraction form
    14,675.20/21,964.20 = 10,301.20/x
  3. Step 3: Cross multiply
    14,675.20x = 21,964.20 × 10,301.20
  4. Step 4: Simplify right side
    14,675.20x = 226,257,617.04
  5. Step 5: Solve for x
    x = 226,257,617.04/14,675.20
  6. Step 6: Final answer
    x = 15,417.69

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1.5x scale

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.