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Finding the Fourth Proportional to 14,089.68, 19,444.02 and 8,120.34

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Solution

The fourth proportional to 14,089.68, 19,444.02 and 8,120.34 is: 11,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.68 : 19,444.02 = 8,120.34 : x
  2. Step 2: Convert to fraction form
    14,089.68/19,444.02 = 8,120.34/x
  3. Step 3: Cross multiply
    14,089.68x = 19,444.02 × 8,120.34
  4. Step 4: Simplify right side
    14,089.68x = 157,892,053.37
  5. Step 5: Solve for x
    x = 157,892,053.37/14,089.68
  6. Step 6: Final answer
    x = 11,206.22

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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.