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Finding the Fourth Proportional to 12,275.42, 18,398.85 and 7,014.12

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Solution

The fourth proportional to 12,275.42, 18,398.85 and 7,014.12 is: 10,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.42 : 18,398.85 = 7,014.12 : x
  2. Step 2: Convert to fraction form
    12,275.42/18,398.85 = 7,014.12/x
  3. Step 3: Cross multiply
    12,275.42x = 18,398.85 × 7,014.12
  4. Step 4: Simplify right side
    12,275.42x = 129,051,741.76
  5. Step 5: Solve for x
    x = 129,051,741.76/12,275.42
  6. Step 6: Final answer
    x = 10,513.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.