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Finding the Fourth Proportional to 14,222.39, 19,623.53 and 8,253.02

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Solution

The fourth proportional to 14,222.39, 19,623.53 and 8,253.02 is: 11,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.39 : 19,623.53 = 8,253.02 : x
  2. Step 2: Convert to fraction form
    14,222.39/19,623.53 = 8,253.02/x
  3. Step 3: Cross multiply
    14,222.39x = 19,623.53 × 8,253.02
  4. Step 4: Simplify right side
    14,222.39x = 161,953,455.25
  5. Step 5: Solve for x
    x = 161,953,455.25/14,222.39
  6. Step 6: Final answer
    x = 11,387.22

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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.