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Finding the Fourth Proportional to 13,765.23, 18,995.76 and 7,477.65

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Solution

The fourth proportional to 13,765.23, 18,995.76 and 7,477.65 is: 10,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.23 : 18,995.76 = 7,477.65 : x
  2. Step 2: Convert to fraction form
    13,765.23/18,995.76 = 7,477.65/x
  3. Step 3: Cross multiply
    13,765.23x = 18,995.76 × 7,477.65
  4. Step 4: Simplify right side
    13,765.23x = 142,043,644.76
  5. Step 5: Solve for x
    x = 142,043,644.76/13,765.23
  6. Step 6: Final answer
    x = 10,319.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.