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Finding the Fourth Proportional to 19,603.76, 29,376.93 and 9,723.31

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Solution

The fourth proportional to 19,603.76, 29,376.93 and 9,723.31 is: 14,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,603.76 : 29,376.93 = 9,723.31 : x
  2. Step 2: Convert to fraction form
    19,603.76/29,376.93 = 9,723.31/x
  3. Step 3: Cross multiply
    19,603.76x = 29,376.93 × 9,723.31
  4. Step 4: Simplify right side
    19,603.76x = 285,640,801.74
  5. Step 5: Solve for x
    x = 285,640,801.74/19,603.76
  6. Step 6: Final answer
    x = 14,570.72

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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.