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Finding the Fourth Proportional to 12,056.40, 18,102.78 and 9,845.10

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Solution

The fourth proportional to 12,056.40, 18,102.78 and 9,845.10 is: 14,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.40 : 18,102.78 = 9,845.10 : x
  2. Step 2: Convert to fraction form
    12,056.40/18,102.78 = 9,845.10/x
  3. Step 3: Cross multiply
    12,056.40x = 18,102.78 × 9,845.10
  4. Step 4: Simplify right side
    12,056.40x = 178,223,679.38
  5. Step 5: Solve for x
    x = 178,223,679.38/12,056.40
  6. Step 6: Final answer
    x = 14,782.50

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Why These Related Problems?

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