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Finding the Fourth Proportional to 22,649.76, 31,253.32 and 12,578.28

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Solution

The fourth proportional to 22,649.76, 31,253.32 and 12,578.28 is: 17,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.76 : 31,253.32 = 12,578.28 : x
  2. Step 2: Convert to fraction form
    22,649.76/31,253.32 = 12,578.28/x
  3. Step 3: Cross multiply
    22,649.76x = 31,253.32 × 12,578.28
  4. Step 4: Simplify right side
    22,649.76x = 393,113,009.89
  5. Step 5: Solve for x
    x = 393,113,009.89/22,649.76
  6. Step 6: Final answer
    x = 17,356.17

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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.