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Finding the Fourth Proportional to 14,041.20, 21,055.95 and 5,715.57

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Solution

The fourth proportional to 14,041.20, 21,055.95 and 5,715.57 is: 8,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.20 : 21,055.95 = 5,715.57 : x
  2. Step 2: Convert to fraction form
    14,041.20/21,055.95 = 5,715.57/x
  3. Step 3: Cross multiply
    14,041.20x = 21,055.95 × 5,715.57
  4. Step 4: Simplify right side
    14,041.20x = 120,346,756.14
  5. Step 5: Solve for x
    x = 120,346,756.14/14,041.20
  6. Step 6: Final answer
    x = 8,570.97

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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.