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Finding the Fourth Proportional to 22,364.37, 30,864.44 and 13,411.71

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Solution

The fourth proportional to 22,364.37, 30,864.44 and 13,411.71 is: 18,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.37 : 30,864.44 = 13,411.71 : x
  2. Step 2: Convert to fraction form
    22,364.37/30,864.44 = 13,411.71/x
  3. Step 3: Cross multiply
    22,364.37x = 30,864.44 × 13,411.71
  4. Step 4: Simplify right side
    22,364.37x = 413,944,952.12
  5. Step 5: Solve for x
    x = 413,944,952.12/22,364.37
  6. Step 6: Final answer
    x = 18,509.13

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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.