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Finding the Fourth Proportional to 14,858.76, 22,302.06 and 7,844.04

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Solution

The fourth proportional to 14,858.76, 22,302.06 and 7,844.04 is: 11,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,858.76 : 22,302.06 = 7,844.04 : x
  2. Step 2: Convert to fraction form
    14,858.76/22,302.06 = 7,844.04/x
  3. Step 3: Cross multiply
    14,858.76x = 22,302.06 × 7,844.04
  4. Step 4: Simplify right side
    14,858.76x = 174,938,250.72
  5. Step 5: Solve for x
    x = 174,938,250.72/14,858.76
  6. Step 6: Final answer
    x = 11,773.41

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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.