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Finding the Fourth Proportional to 12,884.52, 19,326.88 and 4,564.58

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Solution

The fourth proportional to 12,884.52, 19,326.88 and 4,564.58 is: 6,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.52 : 19,326.88 = 4,564.58 : x
  2. Step 2: Convert to fraction form
    12,884.52/19,326.88 = 4,564.58/x
  3. Step 3: Cross multiply
    12,884.52x = 19,326.88 × 4,564.58
  4. Step 4: Simplify right side
    12,884.52x = 88,219,089.91
  5. Step 5: Solve for x
    x = 88,219,089.91/12,884.52
  6. Step 6: Final answer
    x = 6,846.91

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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.