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Finding the Fourth Proportional to 22,457.84, 30,992.00 and 12,386.61

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Solution

The fourth proportional to 22,457.84, 30,992.00 and 12,386.61 is: 17,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.84 : 30,992.00 = 12,386.61 : x
  2. Step 2: Convert to fraction form
    22,457.84/30,992.00 = 12,386.61/x
  3. Step 3: Cross multiply
    22,457.84x = 30,992.00 × 12,386.61
  4. Step 4: Simplify right side
    22,457.84x = 383,885,755.19
  5. Step 5: Solve for x
    x = 383,885,755.19/22,457.84
  6. Step 6: Final answer
    x = 17,093.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.