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Finding the Fourth Proportional to 13,024.61, 17,973.94 and 7,056.43

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Solution

The fourth proportional to 13,024.61, 17,973.94 and 7,056.43 is: 9,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.61 : 17,973.94 = 7,056.43 : x
  2. Step 2: Convert to fraction form
    13,024.61/17,973.94 = 7,056.43/x
  3. Step 3: Cross multiply
    13,024.61x = 17,973.94 × 7,056.43
  4. Step 4: Simplify right side
    13,024.61x = 126,831,849.43
  5. Step 5: Solve for x
    x = 126,831,849.43/13,024.61
  6. Step 6: Final answer
    x = 9,737.86

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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.