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Finding the Fourth Proportional to 21,055.50, 31,568.94 and 14,393.16

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Solution

The fourth proportional to 21,055.50, 31,568.94 and 14,393.16 is: 21,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,055.50 : 31,568.94 = 14,393.16 : x
  2. Step 2: Convert to fraction form
    21,055.50/31,568.94 = 14,393.16/x
  3. Step 3: Cross multiply
    21,055.50x = 31,568.94 × 14,393.16
  4. Step 4: Simplify right side
    21,055.50x = 454,376,804.45
  5. Step 5: Solve for x
    x = 454,376,804.45/21,055.50
  6. Step 6: Final answer
    x = 21,579.96

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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.