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Finding the Fourth Proportional to 13,463.61, 20,199.54 and 6,894.45

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Solution

The fourth proportional to 13,463.61, 20,199.54 and 6,894.45 is: 10,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.61 : 20,199.54 = 6,894.45 : x
  2. Step 2: Convert to fraction form
    13,463.61/20,199.54 = 6,894.45/x
  3. Step 3: Cross multiply
    13,463.61x = 20,199.54 × 6,894.45
  4. Step 4: Simplify right side
    13,463.61x = 139,264,718.55
  5. Step 5: Solve for x
    x = 139,264,718.55/13,463.61
  6. Step 6: Final answer
    x = 10,343.79

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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.