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Finding the Fourth Proportional to 22,356, 30,857.76 and 14,904

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Solution

The fourth proportional to 22,356, 30,857.76 and 14,904 is: 20,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356 : 30,857.76 = 14,904 : x
  2. Step 2: Convert to fraction form
    22,356/30,857.76 = 14,904/x
  3. Step 3: Cross multiply
    22,356x = 30,857.76 × 14,904
  4. Step 4: Simplify right side
    22,356x = 459,904,055.04
  5. Step 5: Solve for x
    x = 459,904,055.04/22,356
  6. Step 6: Final answer
    x = 20,571.84

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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.