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Finding the Fourth Proportional to 13,024.40, 17,973.77 and 7,056.18

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Solution

The fourth proportional to 13,024.40, 17,973.77 and 7,056.18 is: 9,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.40 : 17,973.77 = 7,056.18 : x
  2. Step 2: Convert to fraction form
    13,024.40/17,973.77 = 7,056.18/x
  3. Step 3: Cross multiply
    13,024.40x = 17,973.77 × 7,056.18
  4. Step 4: Simplify right side
    13,024.40x = 126,826,121.12
  5. Step 5: Solve for x
    x = 126,826,121.12/13,024.40
  6. Step 6: Final answer
    x = 9,737.58

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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.