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Finding the Fourth Proportional to 22,953.64, 31,677.06 and 17,977

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Solution

The fourth proportional to 22,953.64, 31,677.06 and 17,977 is: 24,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.64 : 31,677.06 = 17,977 : x
  2. Step 2: Convert to fraction form
    22,953.64/31,677.06 = 17,977/x
  3. Step 3: Cross multiply
    22,953.64x = 31,677.06 × 17,977
  4. Step 4: Simplify right side
    22,953.64x = 569,458,507.62
  5. Step 5: Solve for x
    x = 569,458,507.62/22,953.64
  6. Step 6: Final answer
    x = 24,809.07

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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.