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Finding the Fourth Proportional to 15,135.79, 20,878.75 and 9,084.42

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Solution

The fourth proportional to 15,135.79, 20,878.75 and 9,084.42 is: 12,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.79 : 20,878.75 = 9,084.42 : x
  2. Step 2: Convert to fraction form
    15,135.79/20,878.75 = 9,084.42/x
  3. Step 3: Cross multiply
    15,135.79x = 20,878.75 × 9,084.42
  4. Step 4: Simplify right side
    15,135.79x = 189,671,334.08
  5. Step 5: Solve for x
    x = 189,671,334.08/15,135.79
  6. Step 6: Final answer
    x = 12,531.31

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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.