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Finding the Fourth Proportional to 14,561.99, 20,098.87 and 10,308.63

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Solution

The fourth proportional to 14,561.99, 20,098.87 and 10,308.63 is: 14,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.99 : 20,098.87 = 10,308.63 : x
  2. Step 2: Convert to fraction form
    14,561.99/20,098.87 = 10,308.63/x
  3. Step 3: Cross multiply
    14,561.99x = 20,098.87 × 10,308.63
  4. Step 4: Simplify right side
    14,561.99x = 207,191,731.46
  5. Step 5: Solve for x
    x = 207,191,731.46/14,561.99
  6. Step 6: Final answer
    x = 14,228.26

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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.