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Finding the Fourth Proportional to 12,023.99, 16,597.74 and 10,762.82

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Solution

The fourth proportional to 12,023.99, 16,597.74 and 10,762.82 is: 14,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.99 : 16,597.74 = 10,762.82 : x
  2. Step 2: Convert to fraction form
    12,023.99/16,597.74 = 10,762.82/x
  3. Step 3: Cross multiply
    12,023.99x = 16,597.74 × 10,762.82
  4. Step 4: Simplify right side
    12,023.99x = 178,638,601.00
  5. Step 5: Solve for x
    x = 178,638,601.00/12,023.99
  6. Step 6: Final answer
    x = 14,856.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.