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Finding the Fourth Proportional to 12,342.40, 18,513.60 and 9,426.40

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Solution

The fourth proportional to 12,342.40, 18,513.60 and 9,426.40 is: 14,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.40 : 18,513.60 = 9,426.40 : x
  2. Step 2: Convert to fraction form
    12,342.40/18,513.60 = 9,426.40/x
  3. Step 3: Cross multiply
    12,342.40x = 18,513.60 × 9,426.40
  4. Step 4: Simplify right side
    12,342.40x = 174,516,599.04
  5. Step 5: Solve for x
    x = 174,516,599.04/12,342.40
  6. Step 6: Final answer
    x = 14,139.60

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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.