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Finding the Fourth Proportional to 14,877.49, 22,292.52 and 7,857.22

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Solution

The fourth proportional to 14,877.49, 22,292.52 and 7,857.22 is: 11,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,877.49 : 22,292.52 = 7,857.22 : x
  2. Step 2: Convert to fraction form
    14,877.49/22,292.52 = 7,857.22/x
  3. Step 3: Cross multiply
    14,877.49x = 22,292.52 × 7,857.22
  4. Step 4: Simplify right side
    14,877.49x = 175,157,233.99
  5. Step 5: Solve for x
    x = 175,157,233.99/14,877.49
  6. Step 6: Final answer
    x = 11,773.31

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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.