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Finding the Fourth Proportional to 14,551.99, 20,076.48 and 9,519.08

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Solution

The fourth proportional to 14,551.99, 20,076.48 and 9,519.08 is: 13,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.99 : 20,076.48 = 9,519.08 : x
  2. Step 2: Convert to fraction form
    14,551.99/20,076.48 = 9,519.08/x
  3. Step 3: Cross multiply
    14,551.99x = 20,076.48 × 9,519.08
  4. Step 4: Simplify right side
    14,551.99x = 191,109,619.24
  5. Step 5: Solve for x
    x = 191,109,619.24/14,551.99
  6. Step 6: Final answer
    x = 13,132.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.