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Finding the Fourth Proportional to 14,577.72, 21,868.74 and 5,343

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Solution

The fourth proportional to 14,577.72, 21,868.74 and 5,343 is: 8,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.72 : 21,868.74 = 5,343 : x
  2. Step 2: Convert to fraction form
    14,577.72/21,868.74 = 5,343/x
  3. Step 3: Cross multiply
    14,577.72x = 21,868.74 × 5,343
  4. Step 4: Simplify right side
    14,577.72x = 116,844,677.82
  5. Step 5: Solve for x
    x = 116,844,677.82/14,577.72
  6. Step 6: Final answer
    x = 8,015.29

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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.