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Finding the Fourth Proportional to 14,056.50, 19,398.24 and 7,768.74

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Solution

The fourth proportional to 14,056.50, 19,398.24 and 7,768.74 is: 10,721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.50 : 19,398.24 = 7,768.74 : x
  2. Step 2: Convert to fraction form
    14,056.50/19,398.24 = 7,768.74/x
  3. Step 3: Cross multiply
    14,056.50x = 19,398.24 × 7,768.74
  4. Step 4: Simplify right side
    14,056.50x = 150,699,883.02
  5. Step 5: Solve for x
    x = 150,699,883.02/14,056.50
  6. Step 6: Final answer
    x = 10,721.01

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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.