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Finding the Fourth Proportional to 13,053.66, 19,563.18 and 6,113.58

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Solution

The fourth proportional to 13,053.66, 19,563.18 and 6,113.58 is: 9,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.66 : 19,563.18 = 6,113.58 : x
  2. Step 2: Convert to fraction form
    13,053.66/19,563.18 = 6,113.58/x
  3. Step 3: Cross multiply
    13,053.66x = 19,563.18 × 6,113.58
  4. Step 4: Simplify right side
    13,053.66x = 119,601,065.98
  5. Step 5: Solve for x
    x = 119,601,065.98/13,053.66
  6. Step 6: Final answer
    x = 9,162.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.