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Finding the Fourth Proportional to 14,834.76, 22,249.98 and 4,974

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Solution

The fourth proportional to 14,834.76, 22,249.98 and 4,974 is: 7,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.76 : 22,249.98 = 4,974 : x
  2. Step 2: Convert to fraction form
    14,834.76/22,249.98 = 4,974/x
  3. Step 3: Cross multiply
    14,834.76x = 22,249.98 × 4,974
  4. Step 4: Simplify right side
    14,834.76x = 110,671,400.52
  5. Step 5: Solve for x
    x = 110,671,400.52/14,834.76
  6. Step 6: Final answer
    x = 7,460.28

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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.