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Finding the Fourth Proportional to 19,580.51, 29,367 and 5,537.14

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Solution

The fourth proportional to 19,580.51, 29,367 and 5,537.14 is: 8,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.51 : 29,367 = 5,537.14 : x
  2. Step 2: Convert to fraction form
    19,580.51/29,367 = 5,537.14/x
  3. Step 3: Cross multiply
    19,580.51x = 29,367 × 5,537.14
  4. Step 4: Simplify right side
    19,580.51x = 162,609,116.96
  5. Step 5: Solve for x
    x = 162,609,116.96/19,580.51
  6. Step 6: Final answer
    x = 8,304.64

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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.