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Finding the Fourth Proportional to 13,688.50, 18,890.13 and 7,400.88

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Solution

The fourth proportional to 13,688.50, 18,890.13 and 7,400.88 is: 10,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.50 : 18,890.13 = 7,400.88 : x
  2. Step 2: Convert to fraction form
    13,688.50/18,890.13 = 7,400.88/x
  3. Step 3: Cross multiply
    13,688.50x = 18,890.13 × 7,400.88
  4. Step 4: Simplify right side
    13,688.50x = 139,803,490.86
  5. Step 5: Solve for x
    x = 139,803,490.86/13,688.50
  6. Step 6: Final answer
    x = 10,213.21

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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.