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Finding the Fourth Proportional to 12,702.71, 19,042.71 and 6,459.23

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Solution

The fourth proportional to 12,702.71, 19,042.71 and 6,459.23 is: 9,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.71 : 19,042.71 = 6,459.23 : x
  2. Step 2: Convert to fraction form
    12,702.71/19,042.71 = 6,459.23/x
  3. Step 3: Cross multiply
    12,702.71x = 19,042.71 × 6,459.23
  4. Step 4: Simplify right side
    12,702.71x = 123,001,148.50
  5. Step 5: Solve for x
    x = 123,001,148.50/12,702.71
  6. Step 6: Final answer
    x = 9,683.07

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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.