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Finding the Fourth Proportional to 12,957.20, 19,419.60 and 9,490.40

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Solution

The fourth proportional to 12,957.20, 19,419.60 and 9,490.40 is: 14,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.20 : 19,419.60 = 9,490.40 : x
  2. Step 2: Convert to fraction form
    12,957.20/19,419.60 = 9,490.40/x
  3. Step 3: Cross multiply
    12,957.20x = 19,419.60 × 9,490.40
  4. Step 4: Simplify right side
    12,957.20x = 184,299,771.84
  5. Step 5: Solve for x
    x = 184,299,771.84/12,957.20
  6. Step 6: Final answer
    x = 14,223.73

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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.