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Finding the Fourth Proportional to 13,885.12, 20,811.30 and 7,307.92

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Solution

The fourth proportional to 13,885.12, 20,811.30 and 7,307.92 is: 10,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.12 : 20,811.30 = 7,307.92 : x
  2. Step 2: Convert to fraction form
    13,885.12/20,811.30 = 7,307.92/x
  3. Step 3: Cross multiply
    13,885.12x = 20,811.30 × 7,307.92
  4. Step 4: Simplify right side
    13,885.12x = 152,087,315.50
  5. Step 5: Solve for x
    x = 152,087,315.50/13,885.12
  6. Step 6: Final answer
    x = 10,953.26

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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.