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Finding the Fourth Proportional to 13,377.61, 18,460.94 and 7,409.22

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Solution

The fourth proportional to 13,377.61, 18,460.94 and 7,409.22 is: 10,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.61 : 18,460.94 = 7,409.22 : x
  2. Step 2: Convert to fraction form
    13,377.61/18,460.94 = 7,409.22/x
  3. Step 3: Cross multiply
    13,377.61x = 18,460.94 × 7,409.22
  4. Step 4: Simplify right side
    13,377.61x = 136,781,184.27
  5. Step 5: Solve for x
    x = 136,781,184.27/13,377.61
  6. Step 6: Final answer
    x = 10,224.64

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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.