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Finding the Fourth Proportional to 12,807.64, 19,212.54 and 4,043.08

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Solution

The fourth proportional to 12,807.64, 19,212.54 and 4,043.08 is: 6,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.64 : 19,212.54 = 4,043.08 : x
  2. Step 2: Convert to fraction form
    12,807.64/19,212.54 = 4,043.08/x
  3. Step 3: Cross multiply
    12,807.64x = 19,212.54 × 4,043.08
  4. Step 4: Simplify right side
    12,807.64x = 77,677,836.22
  5. Step 5: Solve for x
    x = 77,677,836.22/12,807.64
  6. Step 6: Final answer
    x = 6,064.96

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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.