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Finding the Fourth Proportional to 12,355.70, 18,508.35 and 7,661.30

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Solution

The fourth proportional to 12,355.70, 18,508.35 and 7,661.30 is: 11,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.70 : 18,508.35 = 7,661.30 : x
  2. Step 2: Convert to fraction form
    12,355.70/18,508.35 = 7,661.30/x
  3. Step 3: Cross multiply
    12,355.70x = 18,508.35 × 7,661.30
  4. Step 4: Simplify right side
    12,355.70x = 141,798,021.86
  5. Step 5: Solve for x
    x = 141,798,021.86/12,355.70
  6. Step 6: Final answer
    x = 11,476.32

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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.