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Finding the Fourth Proportional to 12,341.76, 18,518.73 and 5,768.40

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Solution

The fourth proportional to 12,341.76, 18,518.73 and 5,768.40 is: 8,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.76 : 18,518.73 = 5,768.40 : x
  2. Step 2: Convert to fraction form
    12,341.76/18,518.73 = 5,768.40/x
  3. Step 3: Cross multiply
    12,341.76x = 18,518.73 × 5,768.40
  4. Step 4: Simplify right side
    12,341.76x = 106,823,442.13
  5. Step 5: Solve for x
    x = 106,823,442.13/12,341.76
  6. Step 6: Final answer
    x = 8,655.45

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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.