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Finding the Fourth Proportional to 14,056.68, 19,398.15 and 7,769.01

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Solution

The fourth proportional to 14,056.68, 19,398.15 and 7,769.01 is: 10,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.68 : 19,398.15 = 7,769.01 : x
  2. Step 2: Convert to fraction form
    14,056.68/19,398.15 = 7,769.01/x
  3. Step 3: Cross multiply
    14,056.68x = 19,398.15 × 7,769.01
  4. Step 4: Simplify right side
    14,056.68x = 150,704,421.33
  5. Step 5: Solve for x
    x = 150,704,421.33/14,056.68
  6. Step 6: Final answer
    x = 10,721.20

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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.