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Finding the Fourth Proportional to 15,090.66, 22,603.23 and 9,229.50

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Solution

The fourth proportional to 15,090.66, 22,603.23 and 9,229.50 is: 13,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.66 : 22,603.23 = 9,229.50 : x
  2. Step 2: Convert to fraction form
    15,090.66/22,603.23 = 9,229.50/x
  3. Step 3: Cross multiply
    15,090.66x = 22,603.23 × 9,229.50
  4. Step 4: Simplify right side
    15,090.66x = 208,616,511.29
  5. Step 5: Solve for x
    x = 208,616,511.29/15,090.66
  6. Step 6: Final answer
    x = 13,824.21

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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.