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Finding the Fourth Proportional to 22,347.72, 30,828.06 and 13,969.08

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Solution

The fourth proportional to 22,347.72, 30,828.06 and 13,969.08 is: 19,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.72 : 30,828.06 = 13,969.08 : x
  2. Step 2: Convert to fraction form
    22,347.72/30,828.06 = 13,969.08/x
  3. Step 3: Cross multiply
    22,347.72x = 30,828.06 × 13,969.08
  4. Step 4: Simplify right side
    22,347.72x = 430,639,636.38
  5. Step 5: Solve for x
    x = 430,639,636.38/22,347.72
  6. Step 6: Final answer
    x = 19,269.96

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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.