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Finding the Fourth Proportional to 13,790.39, 20,695.98 and 10,102.06

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Solution

The fourth proportional to 13,790.39, 20,695.98 and 10,102.06 is: 15,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.39 : 20,695.98 = 10,102.06 : x
  2. Step 2: Convert to fraction form
    13,790.39/20,695.98 = 10,102.06/x
  3. Step 3: Cross multiply
    13,790.39x = 20,695.98 × 10,102.06
  4. Step 4: Simplify right side
    13,790.39x = 209,071,928.24
  5. Step 5: Solve for x
    x = 209,071,928.24/13,790.39
  6. Step 6: Final answer
    x = 15,160.70

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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.