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Finding the Fourth Proportional to 14,927.21, 22,356.78 and 7,141.53

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Solution

The fourth proportional to 14,927.21, 22,356.78 and 7,141.53 is: 10,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,927.21 : 22,356.78 = 7,141.53 : x
  2. Step 2: Convert to fraction form
    14,927.21/22,356.78 = 7,141.53/x
  3. Step 3: Cross multiply
    14,927.21x = 22,356.78 × 7,141.53
  4. Step 4: Simplify right side
    14,927.21x = 159,661,579.37
  5. Step 5: Solve for x
    x = 159,661,579.37/14,927.21
  6. Step 6: Final answer
    x = 10,696.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.