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Finding the Fourth Proportional to 12,892.50, 19,334.70 and 4,994.47

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Solution

The fourth proportional to 12,892.50, 19,334.70 and 4,994.47 is: 7,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.50 : 19,334.70 = 4,994.47 : x
  2. Step 2: Convert to fraction form
    12,892.50/19,334.70 = 4,994.47/x
  3. Step 3: Cross multiply
    12,892.50x = 19,334.70 × 4,994.47
  4. Step 4: Simplify right side
    12,892.50x = 96,566,617.32
  5. Step 5: Solve for x
    x = 96,566,617.32/12,892.50
  6. Step 6: Final answer
    x = 7,490.14

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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.