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Finding the Fourth Proportional to 21,740.83, 32,610.22 and 7,700.63

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Solution

The fourth proportional to 21,740.83, 32,610.22 and 7,700.63 is: 11,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,740.83 : 32,610.22 = 7,700.63 : x
  2. Step 2: Convert to fraction form
    21,740.83/32,610.22 = 7,700.63/x
  3. Step 3: Cross multiply
    21,740.83x = 32,610.22 × 7,700.63
  4. Step 4: Simplify right side
    21,740.83x = 251,119,307.08
  5. Step 5: Solve for x
    x = 251,119,307.08/21,740.83
  6. Step 6: Final answer
    x = 11,550.58

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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.