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Finding the Fourth Proportional to 14,876.98, 22,272.13 and 7,840.24

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Solution

The fourth proportional to 14,876.98, 22,272.13 and 7,840.24 is: 11,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.98 : 22,272.13 = 7,840.24 : x
  2. Step 2: Convert to fraction form
    14,876.98/22,272.13 = 7,840.24/x
  3. Step 3: Cross multiply
    14,876.98x = 22,272.13 × 7,840.24
  4. Step 4: Simplify right side
    14,876.98x = 174,618,844.51
  5. Step 5: Solve for x
    x = 174,618,844.51/14,876.98
  6. Step 6: Final answer
    x = 11,737.52

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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.