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Finding the Fourth Proportional to 14,997.84, 22,477.32 and 8,064.24

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Solution

The fourth proportional to 14,997.84, 22,477.32 and 8,064.24 is: 12,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.84 : 22,477.32 = 8,064.24 : x
  2. Step 2: Convert to fraction form
    14,997.84/22,477.32 = 8,064.24/x
  3. Step 3: Cross multiply
    14,997.84x = 22,477.32 × 8,064.24
  4. Step 4: Simplify right side
    14,997.84x = 181,262,503.04
  5. Step 5: Solve for x
    x = 181,262,503.04/14,997.84
  6. Step 6: Final answer
    x = 12,085.91

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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.