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Finding the Fourth Proportional to 12,319.70, 18,485.74 and 5,746.40

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Solution

The fourth proportional to 12,319.70, 18,485.74 and 5,746.40 is: 8,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.70 : 18,485.74 = 5,746.40 : x
  2. Step 2: Convert to fraction form
    12,319.70/18,485.74 = 5,746.40/x
  3. Step 3: Cross multiply
    12,319.70x = 18,485.74 × 5,746.40
  4. Step 4: Simplify right side
    12,319.70x = 106,226,456.34
  5. Step 5: Solve for x
    x = 106,226,456.34/12,319.70
  6. Step 6: Final answer
    x = 8,622.49

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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.