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Finding the Fourth Proportional to 12,853.64, 19,287.14 and 5,838.63

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Solution

The fourth proportional to 12,853.64, 19,287.14 and 5,838.63 is: 8,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.64 : 19,287.14 = 5,838.63 : x
  2. Step 2: Convert to fraction form
    12,853.64/19,287.14 = 5,838.63/x
  3. Step 3: Cross multiply
    12,853.64x = 19,287.14 × 5,838.63
  4. Step 4: Simplify right side
    12,853.64x = 112,610,445.03
  5. Step 5: Solve for x
    x = 112,610,445.03/12,853.64
  6. Step 6: Final answer
    x = 8,760.98

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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.