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Finding the Fourth Proportional to 14,833.82, 22,252.10 and 4,974

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Solution

The fourth proportional to 14,833.82, 22,252.10 and 4,974 is: 7,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.82 : 22,252.10 = 4,974 : x
  2. Step 2: Convert to fraction form
    14,833.82/22,252.10 = 4,974/x
  3. Step 3: Cross multiply
    14,833.82x = 22,252.10 × 4,974
  4. Step 4: Simplify right side
    14,833.82x = 110,681,945.40
  5. Step 5: Solve for x
    x = 110,681,945.40/14,833.82
  6. Step 6: Final answer
    x = 7,461.46

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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.