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Finding the Fourth Proportional to 13,411.86, 18,508.00 and 7,362.09

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Solution

The fourth proportional to 13,411.86, 18,508.00 and 7,362.09 is: 10,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.86 : 18,508.00 = 7,362.09 : x
  2. Step 2: Convert to fraction form
    13,411.86/18,508.00 = 7,362.09/x
  3. Step 3: Cross multiply
    13,411.86x = 18,508.00 × 7,362.09
  4. Step 4: Simplify right side
    13,411.86x = 136,257,543.31
  5. Step 5: Solve for x
    x = 136,257,543.31/13,411.86
  6. Step 6: Final answer
    x = 10,159.48

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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.