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Finding the Fourth Proportional to 13,024.44, 17,973.78 and 7,056.12

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Solution

The fourth proportional to 13,024.44, 17,973.78 and 7,056.12 is: 9,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.44 : 17,973.78 = 7,056.12 : x
  2. Step 2: Convert to fraction form
    13,024.44/17,973.78 = 7,056.12/x
  3. Step 3: Cross multiply
    13,024.44x = 17,973.78 × 7,056.12
  4. Step 4: Simplify right side
    13,024.44x = 126,825,148.53
  5. Step 5: Solve for x
    x = 126,825,148.53/13,024.44
  6. Step 6: Final answer
    x = 9,737.47

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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.