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Finding the Fourth Proportional to 22,783.39, 31,454 and 14,821.63

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Solution

The fourth proportional to 22,783.39, 31,454 and 14,821.63 is: 20,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.39 : 31,454 = 14,821.63 : x
  2. Step 2: Convert to fraction form
    22,783.39/31,454 = 14,821.63/x
  3. Step 3: Cross multiply
    22,783.39x = 31,454 × 14,821.63
  4. Step 4: Simplify right side
    22,783.39x = 466,199,550.02
  5. Step 5: Solve for x
    x = 466,199,550.02/22,783.39
  6. Step 6: Final answer
    x = 20,462.26

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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.