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Finding the Fourth Proportional to 21,977.52, 32,967.36 and 7,186.68

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Solution

The fourth proportional to 21,977.52, 32,967.36 and 7,186.68 is: 10,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.52 : 32,967.36 = 7,186.68 : x
  2. Step 2: Convert to fraction form
    21,977.52/32,967.36 = 7,186.68/x
  3. Step 3: Cross multiply
    21,977.52x = 32,967.36 × 7,186.68
  4. Step 4: Simplify right side
    21,977.52x = 236,925,866.76
  5. Step 5: Solve for x
    x = 236,925,866.76/21,977.52
  6. Step 6: Final answer
    x = 10,780.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.