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Finding the Fourth Proportional to 12,802.56, 19,190.64 and 4,903.20

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Solution

The fourth proportional to 12,802.56, 19,190.64 and 4,903.20 is: 7,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.56 : 19,190.64 = 4,903.20 : x
  2. Step 2: Convert to fraction form
    12,802.56/19,190.64 = 4,903.20/x
  3. Step 3: Cross multiply
    12,802.56x = 19,190.64 × 4,903.20
  4. Step 4: Simplify right side
    12,802.56x = 94,095,546.05
  5. Step 5: Solve for x
    x = 94,095,546.05/12,802.56
  6. Step 6: Final answer
    x = 7,349.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.