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Finding the Fourth Proportional to 13,099.65, 19,652.92 and 4,780.45

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Solution

The fourth proportional to 13,099.65, 19,652.92 and 4,780.45 is: 7,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.65 : 19,652.92 = 4,780.45 : x
  2. Step 2: Convert to fraction form
    13,099.65/19,652.92 = 4,780.45/x
  3. Step 3: Cross multiply
    13,099.65x = 19,652.92 × 4,780.45
  4. Step 4: Simplify right side
    13,099.65x = 93,949,777.51
  5. Step 5: Solve for x
    x = 93,949,777.51/13,099.65
  6. Step 6: Final answer
    x = 7,171.93

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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.