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Finding the Fourth Proportional to 12,835.71, 19,254.24 and 4,071.29

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Solution

The fourth proportional to 12,835.71, 19,254.24 and 4,071.29 is: 6,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.71 : 19,254.24 = 4,071.29 : x
  2. Step 2: Convert to fraction form
    12,835.71/19,254.24 = 4,071.29/x
  3. Step 3: Cross multiply
    12,835.71x = 19,254.24 × 4,071.29
  4. Step 4: Simplify right side
    12,835.71x = 78,389,498.50
  5. Step 5: Solve for x
    x = 78,389,498.50/12,835.71
  6. Step 6: Final answer
    x = 6,107.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.