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Finding the Fourth Proportional to 19,698.51, 29,543.25 and 5,658.44

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Solution

The fourth proportional to 19,698.51, 29,543.25 and 5,658.44 is: 8,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.51 : 29,543.25 = 5,658.44 : x
  2. Step 2: Convert to fraction form
    19,698.51/29,543.25 = 5,658.44/x
  3. Step 3: Cross multiply
    19,698.51x = 29,543.25 × 5,658.44
  4. Step 4: Simplify right side
    19,698.51x = 167,168,559.81
  5. Step 5: Solve for x
    x = 167,168,559.81/19,698.51
  6. Step 6: Final answer
    x = 8,486.36

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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.