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Finding the Fourth Proportional to 12,094.96, 18,140.52 and 4,702.80

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Solution

The fourth proportional to 12,094.96, 18,140.52 and 4,702.80 is: 7,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.96 : 18,140.52 = 4,702.80 : x
  2. Step 2: Convert to fraction form
    12,094.96/18,140.52 = 4,702.80/x
  3. Step 3: Cross multiply
    12,094.96x = 18,140.52 × 4,702.80
  4. Step 4: Simplify right side
    12,094.96x = 85,311,237.46
  5. Step 5: Solve for x
    x = 85,311,237.46/12,094.96
  6. Step 6: Final answer
    x = 7,053.45

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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.