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Finding the Fourth Proportional to 17,981.88, 24,792.93 and 14,784

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Solution

The fourth proportional to 17,981.88, 24,792.93 and 14,784 is: 20,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.88 : 24,792.93 = 14,784 : x
  2. Step 2: Convert to fraction form
    17,981.88/24,792.93 = 14,784/x
  3. Step 3: Cross multiply
    17,981.88x = 24,792.93 × 14,784
  4. Step 4: Simplify right side
    17,981.88x = 366,538,677.12
  5. Step 5: Solve for x
    x = 366,538,677.12/17,981.88
  6. Step 6: Final answer
    x = 20,383.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.