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Finding the Fourth Proportional to 14,081.60, 19,431.77 and 7,706.93

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Solution

The fourth proportional to 14,081.60, 19,431.77 and 7,706.93 is: 10,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.60 : 19,431.77 = 7,706.93 : x
  2. Step 2: Convert to fraction form
    14,081.60/19,431.77 = 7,706.93/x
  3. Step 3: Cross multiply
    14,081.60x = 19,431.77 × 7,706.93
  4. Step 4: Simplify right side
    14,081.60x = 149,759,155.47
  5. Step 5: Solve for x
    x = 149,759,155.47/14,081.60
  6. Step 6: Final answer
    x = 10,635.10

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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.