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Finding the Fourth Proportional to 19,578.50, 29,369.60 and 7,101.66

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Solution

The fourth proportional to 19,578.50, 29,369.60 and 7,101.66 is: 10,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.50 : 29,369.60 = 7,101.66 : x
  2. Step 2: Convert to fraction form
    19,578.50/29,369.60 = 7,101.66/x
  3. Step 3: Cross multiply
    19,578.50x = 29,369.60 × 7,101.66
  4. Step 4: Simplify right side
    19,578.50x = 208,572,878.03
  5. Step 5: Solve for x
    x = 208,572,878.03/19,578.50
  6. Step 6: Final answer
    x = 10,653.16

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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.