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Finding the Fourth Proportional to 22,992.84, 31,733.55 and 14,045.49

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Solution

The fourth proportional to 22,992.84, 31,733.55 and 14,045.49 is: 19,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.84 : 31,733.55 = 14,045.49 : x
  2. Step 2: Convert to fraction form
    22,992.84/31,733.55 = 14,045.49/x
  3. Step 3: Cross multiply
    22,992.84x = 31,733.55 × 14,045.49
  4. Step 4: Simplify right side
    22,992.84x = 445,713,259.19
  5. Step 5: Solve for x
    x = 445,713,259.19/22,992.84
  6. Step 6: Final answer
    x = 19,384.87

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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.