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Finding the Fourth Proportional to 13,175.60, 19,740.13 and 6,920.78

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Solution

The fourth proportional to 13,175.60, 19,740.13 and 6,920.78 is: 10,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.60 : 19,740.13 = 6,920.78 : x
  2. Step 2: Convert to fraction form
    13,175.60/19,740.13 = 6,920.78/x
  3. Step 3: Cross multiply
    13,175.60x = 19,740.13 × 6,920.78
  4. Step 4: Simplify right side
    13,175.60x = 136,616,980.90
  5. Step 5: Solve for x
    x = 136,616,980.90/13,175.60
  6. Step 6: Final answer
    x = 10,368.94

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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.