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Finding the Fourth Proportional to 14,611.40, 20,156.51 and 9,159.49

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Solution

The fourth proportional to 14,611.40, 20,156.51 and 9,159.49 is: 12,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.40 : 20,156.51 = 9,159.49 : x
  2. Step 2: Convert to fraction form
    14,611.40/20,156.51 = 9,159.49/x
  3. Step 3: Cross multiply
    14,611.40x = 20,156.51 × 9,159.49
  4. Step 4: Simplify right side
    14,611.40x = 184,623,351.78
  5. Step 5: Solve for x
    x = 184,623,351.78/14,611.40
  6. Step 6: Final answer
    x = 12,635.57

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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.