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Finding the Fourth Proportional to 14,509.50, 20,023.11 and 7,885.50

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Solution

The fourth proportional to 14,509.50, 20,023.11 and 7,885.50 is: 10,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.50 : 20,023.11 = 7,885.50 : x
  2. Step 2: Convert to fraction form
    14,509.50/20,023.11 = 7,885.50/x
  3. Step 3: Cross multiply
    14,509.50x = 20,023.11 × 7,885.50
  4. Step 4: Simplify right side
    14,509.50x = 157,892,233.91
  5. Step 5: Solve for x
    x = 157,892,233.91/14,509.50
  6. Step 6: Final answer
    x = 10,881.99

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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.