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Finding the Fourth Proportional to 13,402.14, 20,095.11 and 6,384.30

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Solution

The fourth proportional to 13,402.14, 20,095.11 and 6,384.30 is: 9,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.14 : 20,095.11 = 6,384.30 : x
  2. Step 2: Convert to fraction form
    13,402.14/20,095.11 = 6,384.30/x
  3. Step 3: Cross multiply
    13,402.14x = 20,095.11 × 6,384.30
  4. Step 4: Simplify right side
    13,402.14x = 128,293,210.77
  5. Step 5: Solve for x
    x = 128,293,210.77/13,402.14
  6. Step 6: Final answer
    x = 9,572.59

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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.