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Finding the Fourth Proportional to 13,815.60, 19,066.01 and 7,847.07

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Solution

The fourth proportional to 13,815.60, 19,066.01 and 7,847.07 is: 10,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.60 : 19,066.01 = 7,847.07 : x
  2. Step 2: Convert to fraction form
    13,815.60/19,066.01 = 7,847.07/x
  3. Step 3: Cross multiply
    13,815.60x = 19,066.01 × 7,847.07
  4. Step 4: Simplify right side
    13,815.60x = 149,612,275.86
  5. Step 5: Solve for x
    x = 149,612,275.86/13,815.60
  6. Step 6: Final answer
    x = 10,829.23

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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.