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Finding the Fourth Proportional to 12,702.48, 19,054.96 and 4,381.38

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Solution

The fourth proportional to 12,702.48, 19,054.96 and 4,381.38 is: 6,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.48 : 19,054.96 = 4,381.38 : x
  2. Step 2: Convert to fraction form
    12,702.48/19,054.96 = 4,381.38/x
  3. Step 3: Cross multiply
    12,702.48x = 19,054.96 × 4,381.38
  4. Step 4: Simplify right side
    12,702.48x = 83,487,020.64
  5. Step 5: Solve for x
    x = 83,487,020.64/12,702.48
  6. Step 6: Final answer
    x = 6,572.50

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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.