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Finding the Fourth Proportional to 13,321.51, 18,384.14 and 7,657.31

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Solution

The fourth proportional to 13,321.51, 18,384.14 and 7,657.31 is: 10,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.51 : 18,384.14 = 7,657.31 : x
  2. Step 2: Convert to fraction form
    13,321.51/18,384.14 = 7,657.31/x
  3. Step 3: Cross multiply
    13,321.51x = 18,384.14 × 7,657.31
  4. Step 4: Simplify right side
    13,321.51x = 140,773,059.06
  5. Step 5: Solve for x
    x = 140,773,059.06/13,321.51
  6. Step 6: Final answer
    x = 10,567.35

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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.