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Finding the Fourth Proportional to 14,601.14, 20,129.21 and 10,117.18

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Solution

The fourth proportional to 14,601.14, 20,129.21 and 10,117.18 is: 13,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.14 : 20,129.21 = 10,117.18 : x
  2. Step 2: Convert to fraction form
    14,601.14/20,129.21 = 10,117.18/x
  3. Step 3: Cross multiply
    14,601.14x = 20,129.21 × 10,117.18
  4. Step 4: Simplify right side
    14,601.14x = 203,650,840.83
  5. Step 5: Solve for x
    x = 203,650,840.83/14,601.14
  6. Step 6: Final answer
    x = 13,947.60

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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.