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Finding the Fourth Proportional to 13,097.46, 18,072.80 and 7,432.74

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Solution

The fourth proportional to 13,097.46, 18,072.80 and 7,432.74 is: 10,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.46 : 18,072.80 = 7,432.74 : x
  2. Step 2: Convert to fraction form
    13,097.46/18,072.80 = 7,432.74/x
  3. Step 3: Cross multiply
    13,097.46x = 18,072.80 × 7,432.74
  4. Step 4: Simplify right side
    13,097.46x = 134,330,336.10
  5. Step 5: Solve for x
    x = 134,330,336.10/13,097.46
  6. Step 6: Final answer
    x = 10,256.21

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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.