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Finding the Fourth Proportional to 15,967.74, 23,941.18 and 7,647.49

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Solution

The fourth proportional to 15,967.74, 23,941.18 and 7,647.49 is: 11,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.74 : 23,941.18 = 7,647.49 : x
  2. Step 2: Convert to fraction form
    15,967.74/23,941.18 = 7,647.49/x
  3. Step 3: Cross multiply
    15,967.74x = 23,941.18 × 7,647.49
  4. Step 4: Simplify right side
    15,967.74x = 183,089,934.64
  5. Step 5: Solve for x
    x = 183,089,934.64/15,967.74
  6. Step 6: Final answer
    x = 11,466.24

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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.