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Finding the Fourth Proportional to 13,022.66, 17,970.36 and 7,357.64

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Solution

The fourth proportional to 13,022.66, 17,970.36 and 7,357.64 is: 10,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.66 : 17,970.36 = 7,357.64 : x
  2. Step 2: Convert to fraction form
    13,022.66/17,970.36 = 7,357.64/x
  3. Step 3: Cross multiply
    13,022.66x = 17,970.36 × 7,357.64
  4. Step 4: Simplify right side
    13,022.66x = 132,219,349.70
  5. Step 5: Solve for x
    x = 132,219,349.70/13,022.66
  6. Step 6: Final answer
    x = 10,153.03

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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.