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Finding the Fourth Proportional to 15,200.64, 22,804.46 and 4,812.39

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Solution

The fourth proportional to 15,200.64, 22,804.46 and 4,812.39 is: 7,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.64 : 22,804.46 = 4,812.39 : x
  2. Step 2: Convert to fraction form
    15,200.64/22,804.46 = 4,812.39/x
  3. Step 3: Cross multiply
    15,200.64x = 22,804.46 × 4,812.39
  4. Step 4: Simplify right side
    15,200.64x = 109,743,955.26
  5. Step 5: Solve for x
    x = 109,743,955.26/15,200.64
  6. Step 6: Final answer
    x = 7,219.69

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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.