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Finding the Fourth Proportional to 22,417.77, 30,935.34 and 12,857.17

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Solution

The fourth proportional to 22,417.77, 30,935.34 and 12,857.17 is: 17,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417.77 : 30,935.34 = 12,857.17 : x
  2. Step 2: Convert to fraction form
    22,417.77/30,935.34 = 12,857.17/x
  3. Step 3: Cross multiply
    22,417.77x = 30,935.34 × 12,857.17
  4. Step 4: Simplify right side
    22,417.77x = 397,740,903.61
  5. Step 5: Solve for x
    x = 397,740,903.61/22,417.77
  6. Step 6: Final answer
    x = 17,742.21

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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.