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Finding the Fourth Proportional to 15,103.76, 22,658.48 and 6,783.58

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Solution

The fourth proportional to 15,103.76, 22,658.48 and 6,783.58 is: 10,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,103.76 : 22,658.48 = 6,783.58 : x
  2. Step 2: Convert to fraction form
    15,103.76/22,658.48 = 6,783.58/x
  3. Step 3: Cross multiply
    15,103.76x = 22,658.48 × 6,783.58
  4. Step 4: Simplify right side
    15,103.76x = 153,705,611.76
  5. Step 5: Solve for x
    x = 153,705,611.76/15,103.76
  6. Step 6: Final answer
    x = 10,176.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.