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Finding the Fourth Proportional to 14,697.68, 20,271.67 and 10,219.19

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Solution

The fourth proportional to 14,697.68, 20,271.67 and 10,219.19 is: 14,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.68 : 20,271.67 = 10,219.19 : x
  2. Step 2: Convert to fraction form
    14,697.68/20,271.67 = 10,219.19/x
  3. Step 3: Cross multiply
    14,697.68x = 20,271.67 × 10,219.19
  4. Step 4: Simplify right side
    14,697.68x = 207,159,945.99
  5. Step 5: Solve for x
    x = 207,159,945.99/14,697.68
  6. Step 6: Final answer
    x = 14,094.74

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