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Finding the Fourth Proportional to 21,578.64, 29,778.16 and 12,018.27

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Solution

The fourth proportional to 21,578.64, 29,778.16 and 12,018.27 is: 16,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.64 : 29,778.16 = 12,018.27 : x
  2. Step 2: Convert to fraction form
    21,578.64/29,778.16 = 12,018.27/x
  3. Step 3: Cross multiply
    21,578.64x = 29,778.16 × 12,018.27
  4. Step 4: Simplify right side
    21,578.64x = 357,881,966.98
  5. Step 5: Solve for x
    x = 357,881,966.98/21,578.64
  6. Step 6: Final answer
    x = 16,585.01

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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.