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Finding the Fourth Proportional to 14,026.86, 19,357.06 and 7,739.24

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Solution

The fourth proportional to 14,026.86, 19,357.06 and 7,739.24 is: 10,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026.86 : 19,357.06 = 7,739.24 : x
  2. Step 2: Convert to fraction form
    14,026.86/19,357.06 = 7,739.24/x
  3. Step 3: Cross multiply
    14,026.86x = 19,357.06 × 7,739.24
  4. Step 4: Simplify right side
    14,026.86x = 149,808,933.03
  5. Step 5: Solve for x
    x = 149,808,933.03/14,026.86
  6. Step 6: Final answer
    x = 10,680.15

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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.