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Finding the Fourth Proportional to 13,575.42, 18,734.61 and 7,607.14

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Solution

The fourth proportional to 13,575.42, 18,734.61 and 7,607.14 is: 10,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.42 : 18,734.61 = 7,607.14 : x
  2. Step 2: Convert to fraction form
    13,575.42/18,734.61 = 7,607.14/x
  3. Step 3: Cross multiply
    13,575.42x = 18,734.61 × 7,607.14
  4. Step 4: Simplify right side
    13,575.42x = 142,516,801.12
  5. Step 5: Solve for x
    x = 142,516,801.12/13,575.42
  6. Step 6: Final answer
    x = 10,498.15

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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.