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Finding the Fourth Proportional to 21,967.66, 32,948 and 7,176.46

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Solution

The fourth proportional to 21,967.66, 32,948 and 7,176.46 is: 10,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.66 : 32,948 = 7,176.46 : x
  2. Step 2: Convert to fraction form
    21,967.66/32,948 = 7,176.46/x
  3. Step 3: Cross multiply
    21,967.66x = 32,948 × 7,176.46
  4. Step 4: Simplify right side
    21,967.66x = 236,450,004.08
  5. Step 5: Solve for x
    x = 236,450,004.08/21,967.66
  6. Step 6: Final answer
    x = 10,763.55

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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.