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Finding the Fourth Proportional to 15,132.94, 20,885.39 and 9,164.86

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Solution

The fourth proportional to 15,132.94, 20,885.39 and 9,164.86 is: 12,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.94 : 20,885.39 = 9,164.86 : x
  2. Step 2: Convert to fraction form
    15,132.94/20,885.39 = 9,164.86/x
  3. Step 3: Cross multiply
    15,132.94x = 20,885.39 × 9,164.86
  4. Step 4: Simplify right side
    15,132.94x = 191,411,675.40
  5. Step 5: Solve for x
    x = 191,411,675.40/15,132.94
  6. Step 6: Final answer
    x = 12,648.68

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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.