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Finding the Fourth Proportional to 19,531.14, 29,302.98 and 7,051.08

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Solution

The fourth proportional to 19,531.14, 29,302.98 and 7,051.08 is: 10,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531.14 : 29,302.98 = 7,051.08 : x
  2. Step 2: Convert to fraction form
    19,531.14/29,302.98 = 7,051.08/x
  3. Step 3: Cross multiply
    19,531.14x = 29,302.98 × 7,051.08
  4. Step 4: Simplify right side
    19,531.14x = 206,617,656.22
  5. Step 5: Solve for x
    x = 206,617,656.22/19,531.14
  6. Step 6: Final answer
    x = 10,578.88

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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.