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Finding the Fourth Proportional to 15,129.93, 20,878.77 and 8,415.42

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Solution

The fourth proportional to 15,129.93, 20,878.77 and 8,415.42 is: 11,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.93 : 20,878.77 = 8,415.42 : x
  2. Step 2: Convert to fraction form
    15,129.93/20,878.77 = 8,415.42/x
  3. Step 3: Cross multiply
    15,129.93x = 20,878.77 × 8,415.42
  4. Step 4: Simplify right side
    15,129.93x = 175,703,618.63
  5. Step 5: Solve for x
    x = 175,703,618.63/15,129.93
  6. Step 6: Final answer
    x = 11,612.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.