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Finding the Fourth Proportional to 13,815.64, 19,066.02 and 7,846.95

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Solution

The fourth proportional to 13,815.64, 19,066.02 and 7,846.95 is: 10,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.64 : 19,066.02 = 7,846.95 : x
  2. Step 2: Convert to fraction form
    13,815.64/19,066.02 = 7,846.95/x
  3. Step 3: Cross multiply
    13,815.64x = 19,066.02 × 7,846.95
  4. Step 4: Simplify right side
    13,815.64x = 149,610,086.02
  5. Step 5: Solve for x
    x = 149,610,086.02/13,815.64
  6. Step 6: Final answer
    x = 10,829.04

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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.