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Finding the Fourth Proportional to 21,610.74, 32,430.69 and 8,461.47

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Solution

The fourth proportional to 21,610.74, 32,430.69 and 8,461.47 is: 12,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.74 : 32,430.69 = 8,461.47 : x
  2. Step 2: Convert to fraction form
    21,610.74/32,430.69 = 8,461.47/x
  3. Step 3: Cross multiply
    21,610.74x = 32,430.69 × 8,461.47
  4. Step 4: Simplify right side
    21,610.74x = 274,411,310.51
  5. Step 5: Solve for x
    x = 274,411,310.51/21,610.74
  6. Step 6: Final answer
    x = 12,697.91

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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.