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Finding the Fourth Proportional to 19,357.86, 29,041.08 and 6,878.64

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Solution

The fourth proportional to 19,357.86, 29,041.08 and 6,878.64 is: 10,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.86 : 29,041.08 = 6,878.64 : x
  2. Step 2: Convert to fraction form
    19,357.86/29,041.08 = 6,878.64/x
  3. Step 3: Cross multiply
    19,357.86x = 29,041.08 × 6,878.64
  4. Step 4: Simplify right side
    19,357.86x = 199,763,134.53
  5. Step 5: Solve for x
    x = 199,763,134.53/19,357.86
  6. Step 6: Final answer
    x = 10,319.48

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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.