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Finding the Fourth Proportional to 13,454.51, 20,172.02 and 6,875.69

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Solution

The fourth proportional to 13,454.51, 20,172.02 and 6,875.69 is: 10,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.51 : 20,172.02 = 6,875.69 : x
  2. Step 2: Convert to fraction form
    13,454.51/20,172.02 = 6,875.69/x
  3. Step 3: Cross multiply
    13,454.51x = 20,172.02 × 6,875.69
  4. Step 4: Simplify right side
    13,454.51x = 138,696,420.96
  5. Step 5: Solve for x
    x = 138,696,420.96/13,454.51
  6. Step 6: Final answer
    x = 10,308.55

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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.