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Finding the Fourth Proportional to 22,809.84, 31,477.28 and 12,738.46

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Solution

The fourth proportional to 22,809.84, 31,477.28 and 12,738.46 is: 17,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.84 : 31,477.28 = 12,738.46 : x
  2. Step 2: Convert to fraction form
    22,809.84/31,477.28 = 12,738.46/x
  3. Step 3: Cross multiply
    22,809.84x = 31,477.28 × 12,738.46
  4. Step 4: Simplify right side
    22,809.84x = 400,972,008.50
  5. Step 5: Solve for x
    x = 400,972,008.50/22,809.84
  6. Step 6: Final answer
    x = 17,578.91

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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.