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Finding the Fourth Proportional to 13,690.32, 18,892.59 and 7,402.70

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Solution

The fourth proportional to 13,690.32, 18,892.59 and 7,402.70 is: 10,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.32 : 18,892.59 = 7,402.70 : x
  2. Step 2: Convert to fraction form
    13,690.32/18,892.59 = 7,402.70/x
  3. Step 3: Cross multiply
    13,690.32x = 18,892.59 × 7,402.70
  4. Step 4: Simplify right side
    13,690.32x = 139,856,081.53
  5. Step 5: Solve for x
    x = 139,856,081.53/13,690.32
  6. Step 6: Final answer
    x = 10,215.69

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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.