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Finding the Fourth Proportional to 21,509.46, 29,685.78 and 12,078

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Solution

The fourth proportional to 21,509.46, 29,685.78 and 12,078 is: 16,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.46 : 29,685.78 = 12,078 : x
  2. Step 2: Convert to fraction form
    21,509.46/29,685.78 = 12,078/x
  3. Step 3: Cross multiply
    21,509.46x = 29,685.78 × 12,078
  4. Step 4: Simplify right side
    21,509.46x = 358,544,850.84
  5. Step 5: Solve for x
    x = 358,544,850.84/21,509.46
  6. Step 6: Final answer
    x = 16,669.17

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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.