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Finding the Fourth Proportional to 13,106.54, 19,659.92 and 4,341.40

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Solution

The fourth proportional to 13,106.54, 19,659.92 and 4,341.40 is: 6,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.54 : 19,659.92 = 4,341.40 : x
  2. Step 2: Convert to fraction form
    13,106.54/19,659.92 = 4,341.40/x
  3. Step 3: Cross multiply
    13,106.54x = 19,659.92 × 4,341.40
  4. Step 4: Simplify right side
    13,106.54x = 85,351,505.83
  5. Step 5: Solve for x
    x = 85,351,505.83/13,106.54
  6. Step 6: Final answer
    x = 6,512.13

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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.