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Finding the Fourth Proportional to 12,090.64, 18,135.60 and 4,294

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Solution

The fourth proportional to 12,090.64, 18,135.60 and 4,294 is: 6,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.64 : 18,135.60 = 4,294 : x
  2. Step 2: Convert to fraction form
    12,090.64/18,135.60 = 4,294/x
  3. Step 3: Cross multiply
    12,090.64x = 18,135.60 × 4,294
  4. Step 4: Simplify right side
    12,090.64x = 77,874,266.40
  5. Step 5: Solve for x
    x = 77,874,266.40/12,090.64
  6. Step 6: Final answer
    x = 6,440.87

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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.