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Finding the Fourth Proportional to 13,097.88, 18,074.70 and 7,432.47

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Solution

The fourth proportional to 13,097.88, 18,074.70 and 7,432.47 is: 10,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.88 : 18,074.70 = 7,432.47 : x
  2. Step 2: Convert to fraction form
    13,097.88/18,074.70 = 7,432.47/x
  3. Step 3: Cross multiply
    13,097.88x = 18,074.70 × 7,432.47
  4. Step 4: Simplify right side
    13,097.88x = 134,339,665.51
  5. Step 5: Solve for x
    x = 134,339,665.51/13,097.88
  6. Step 6: Final answer
    x = 10,256.60

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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.