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Finding the Fourth Proportional to 19,702.91, 29,529.66 and 9,845.01

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Solution

The fourth proportional to 19,702.91, 29,529.66 and 9,845.01 is: 14,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.91 : 29,529.66 = 9,845.01 : x
  2. Step 2: Convert to fraction form
    19,702.91/29,529.66 = 9,845.01/x
  3. Step 3: Cross multiply
    19,702.91x = 29,529.66 × 9,845.01
  4. Step 4: Simplify right side
    19,702.91x = 290,719,834.92
  5. Step 5: Solve for x
    x = 290,719,834.92/19,702.91
  6. Step 6: Final answer
    x = 14,755.17

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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.