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Finding the Fourth Proportional to 19,182.34, 28,773.60 and 6,702.31

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Solution

The fourth proportional to 19,182.34, 28,773.60 and 6,702.31 is: 10,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,182.34 : 28,773.60 = 6,702.31 : x
  2. Step 2: Convert to fraction form
    19,182.34/28,773.60 = 6,702.31/x
  3. Step 3: Cross multiply
    19,182.34x = 28,773.60 × 6,702.31
  4. Step 4: Simplify right side
    19,182.34x = 192,849,587.02
  5. Step 5: Solve for x
    x = 192,849,587.02/19,182.34
  6. Step 6: Final answer
    x = 10,053.50

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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.