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Finding the Fourth Proportional to 14,069.53, 19,415.19 and 7,781.50

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Solution

The fourth proportional to 14,069.53, 19,415.19 and 7,781.50 is: 10,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.53 : 19,415.19 = 7,781.50 : x
  2. Step 2: Convert to fraction form
    14,069.53/19,415.19 = 7,781.50/x
  3. Step 3: Cross multiply
    14,069.53x = 19,415.19 × 7,781.50
  4. Step 4: Simplify right side
    14,069.53x = 151,079,300.99
  5. Step 5: Solve for x
    x = 151,079,300.99/14,069.53
  6. Step 6: Final answer
    x = 10,738.05

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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.