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Finding the Fourth Proportional to 13,407.98, 18,460.94 and 11,387.16

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Solution

The fourth proportional to 13,407.98, 18,460.94 and 11,387.16 is: 15,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.98 : 18,460.94 = 11,387.16 : x
  2. Step 2: Convert to fraction form
    13,407.98/18,460.94 = 11,387.16/x
  3. Step 3: Cross multiply
    13,407.98x = 18,460.94 × 11,387.16
  4. Step 4: Simplify right side
    13,407.98x = 210,217,620.59
  5. Step 5: Solve for x
    x = 210,217,620.59/13,407.98
  6. Step 6: Final answer
    x = 15,678.55

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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.