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Finding the Fourth Proportional to 14,557.76, 21,840.32 and 6,233.60

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Solution

The fourth proportional to 14,557.76, 21,840.32 and 6,233.60 is: 9,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.76 : 21,840.32 = 6,233.60 : x
  2. Step 2: Convert to fraction form
    14,557.76/21,840.32 = 6,233.60/x
  3. Step 3: Cross multiply
    14,557.76x = 21,840.32 × 6,233.60
  4. Step 4: Simplify right side
    14,557.76x = 136,143,818.75
  5. Step 5: Solve for x
    x = 136,143,818.75/14,557.76
  6. Step 6: Final answer
    x = 9,351.98

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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.