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Finding the Fourth Proportional to 14,129.30, 19,498.67 and 7,756.49

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Solution

The fourth proportional to 14,129.30, 19,498.67 and 7,756.49 is: 10,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.30 : 19,498.67 = 7,756.49 : x
  2. Step 2: Convert to fraction form
    14,129.30/19,498.67 = 7,756.49/x
  3. Step 3: Cross multiply
    14,129.30x = 19,498.67 × 7,756.49
  4. Step 4: Simplify right side
    14,129.30x = 151,241,102.59
  5. Step 5: Solve for x
    x = 151,241,102.59/14,129.30
  6. Step 6: Final answer
    x = 10,704.08

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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.