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Finding the Fourth Proportional to 15,606.90, 21,538.95 and 8,534.38

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Solution

The fourth proportional to 15,606.90, 21,538.95 and 8,534.38 is: 11,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606.90 : 21,538.95 = 8,534.38 : x
  2. Step 2: Convert to fraction form
    15,606.90/21,538.95 = 8,534.38/x
  3. Step 3: Cross multiply
    15,606.90x = 21,538.95 × 8,534.38
  4. Step 4: Simplify right side
    15,606.90x = 183,821,584.10
  5. Step 5: Solve for x
    x = 183,821,584.10/15,606.90
  6. Step 6: Final answer
    x = 11,778.23

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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.