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Finding the Fourth Proportional to 22,149.51, 30,569.58 and 14,594.64

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Solution

The fourth proportional to 22,149.51, 30,569.58 and 14,594.64 is: 20,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.51 : 30,569.58 = 14,594.64 : x
  2. Step 2: Convert to fraction form
    22,149.51/30,569.58 = 14,594.64/x
  3. Step 3: Cross multiply
    22,149.51x = 30,569.58 × 14,594.64
  4. Step 4: Simplify right side
    22,149.51x = 446,152,015.05
  5. Step 5: Solve for x
    x = 446,152,015.05/22,149.51
  6. Step 6: Final answer
    x = 20,142.75

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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.