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Finding the Fourth Proportional to 14,203.02, 19,597.85 and 8,233.52

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Solution

The fourth proportional to 14,203.02, 19,597.85 and 8,233.52 is: 11,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.02 : 19,597.85 = 8,233.52 : x
  2. Step 2: Convert to fraction form
    14,203.02/19,597.85 = 8,233.52/x
  3. Step 3: Cross multiply
    14,203.02x = 19,597.85 × 8,233.52
  4. Step 4: Simplify right side
    14,203.02x = 161,359,289.93
  5. Step 5: Solve for x
    x = 161,359,289.93/14,203.02
  6. Step 6: Final answer
    x = 11,360.91

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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.