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Finding the Fourth Proportional to 13,428.32, 18,530.96 and 7,460

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Solution

The fourth proportional to 13,428.32, 18,530.96 and 7,460 is: 10,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.32 : 18,530.96 = 7,460 : x
  2. Step 2: Convert to fraction form
    13,428.32/18,530.96 = 7,460/x
  3. Step 3: Cross multiply
    13,428.32x = 18,530.96 × 7,460
  4. Step 4: Simplify right side
    13,428.32x = 138,240,961.60
  5. Step 5: Solve for x
    x = 138,240,961.60/13,428.32
  6. Step 6: Final answer
    x = 10,294.73

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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.