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Finding the Fourth Proportional to 12,802.35, 19,190.33 and 4,902.71

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Solution

The fourth proportional to 12,802.35, 19,190.33 and 4,902.71 is: 7,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.35 : 19,190.33 = 4,902.71 : x
  2. Step 2: Convert to fraction form
    12,802.35/19,190.33 = 4,902.71/x
  3. Step 3: Cross multiply
    12,802.35x = 19,190.33 × 4,902.71
  4. Step 4: Simplify right side
    12,802.35x = 94,084,622.79
  5. Step 5: Solve for x
    x = 94,084,622.79/12,802.35
  6. Step 6: Final answer
    x = 7,349.01

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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.