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Finding the Fourth Proportional to 15,888.50, 23,817.26 and 7,566.29

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Solution

The fourth proportional to 15,888.50, 23,817.26 and 7,566.29 is: 11,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.50 : 23,817.26 = 7,566.29 : x
  2. Step 2: Convert to fraction form
    15,888.50/23,817.26 = 7,566.29/x
  3. Step 3: Cross multiply
    15,888.50x = 23,817.26 × 7,566.29
  4. Step 4: Simplify right side
    15,888.50x = 180,208,258.33
  5. Step 5: Solve for x
    x = 180,208,258.33/15,888.50
  6. Step 6: Final answer
    x = 11,342.06

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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.