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Finding the Fourth Proportional to 22,356, 30,864.24 and 14,916.96

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Solution

The fourth proportional to 22,356, 30,864.24 and 14,916.96 is: 20,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356 : 30,864.24 = 14,916.96 : x
  2. Step 2: Convert to fraction form
    22,356/30,864.24 = 14,916.96/x
  3. Step 3: Cross multiply
    22,356x = 30,864.24 × 14,916.96
  4. Step 4: Simplify right side
    22,356x = 460,400,633.51
  5. Step 5: Solve for x
    x = 460,400,633.51/22,356
  6. Step 6: Final answer
    x = 20,594.05

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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.