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Finding the Fourth Proportional to 22,084.32, 30,475.44 and 12,653.76

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Solution

The fourth proportional to 22,084.32, 30,475.44 and 12,653.76 is: 17,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084.32 : 30,475.44 = 12,653.76 : x
  2. Step 2: Convert to fraction form
    22,084.32/30,475.44 = 12,653.76/x
  3. Step 3: Cross multiply
    22,084.32x = 30,475.44 × 12,653.76
  4. Step 4: Simplify right side
    22,084.32x = 385,628,903.65
  5. Step 5: Solve for x
    x = 385,628,903.65/22,084.32
  6. Step 6: Final answer
    x = 17,461.66

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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.