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Finding the Fourth Proportional to 22,322.31, 30,784.60 and 14,776.15

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Solution

The fourth proportional to 22,322.31, 30,784.60 and 14,776.15 is: 20,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.31 : 30,784.60 = 14,776.15 : x
  2. Step 2: Convert to fraction form
    22,322.31/30,784.60 = 14,776.15/x
  3. Step 3: Cross multiply
    22,322.31x = 30,784.60 × 14,776.15
  4. Step 4: Simplify right side
    22,322.31x = 454,877,867.29
  5. Step 5: Solve for x
    x = 454,877,867.29/22,322.31
  6. Step 6: Final answer
    x = 20,377.72

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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.