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Finding the Fourth Proportional to 13,283.20, 19,881.60 and 12,246.40

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Solution

The fourth proportional to 13,283.20, 19,881.60 and 12,246.40 is: 18,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.20 : 19,881.60 = 12,246.40 : x
  2. Step 2: Convert to fraction form
    13,283.20/19,881.60 = 12,246.40/x
  3. Step 3: Cross multiply
    13,283.20x = 19,881.60 × 12,246.40
  4. Step 4: Simplify right side
    13,283.20x = 243,478,026.24
  5. Step 5: Solve for x
    x = 243,478,026.24/13,283.20
  6. Step 6: Final answer
    x = 18,329.77

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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.