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Finding the Fourth Proportional to 29,286, 40,417.86 and 19,222.56

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Solution

The fourth proportional to 29,286, 40,417.86 and 19,222.56 is: 26,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286 : 40,417.86 = 19,222.56 : x
  2. Step 2: Convert to fraction form
    29,286/40,417.86 = 19,222.56/x
  3. Step 3: Cross multiply
    29,286x = 40,417.86 × 19,222.56
  4. Step 4: Simplify right side
    29,286x = 776,934,738.92
  5. Step 5: Solve for x
    x = 776,934,738.92/29,286
  6. Step 6: Final answer
    x = 26,529.22

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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.