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Finding the Fourth Proportional to 14,811.85, 22,193.17 and 10,420.08

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Solution

The fourth proportional to 14,811.85, 22,193.17 and 10,420.08 is: 15,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.85 : 22,193.17 = 10,420.08 : x
  2. Step 2: Convert to fraction form
    14,811.85/22,193.17 = 10,420.08/x
  3. Step 3: Cross multiply
    14,811.85x = 22,193.17 × 10,420.08
  4. Step 4: Simplify right side
    14,811.85x = 231,254,606.85
  5. Step 5: Solve for x
    x = 231,254,606.85/14,811.85
  6. Step 6: Final answer
    x = 15,612.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.