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Finding the Fourth Proportional to 12,038.40, 18,057.60 and 10,094.40

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Solution

The fourth proportional to 12,038.40, 18,057.60 and 10,094.40 is: 15,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.40 : 18,057.60 = 10,094.40 : x
  2. Step 2: Convert to fraction form
    12,038.40/18,057.60 = 10,094.40/x
  3. Step 3: Cross multiply
    12,038.40x = 18,057.60 × 10,094.40
  4. Step 4: Simplify right side
    12,038.40x = 182,280,637.44
  5. Step 5: Solve for x
    x = 182,280,637.44/12,038.40
  6. Step 6: Final answer
    x = 15,141.60

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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.