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Finding the Fourth Proportional to 14,561.76, 21,846.32 and 6,237.60

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Solution

The fourth proportional to 14,561.76, 21,846.32 and 6,237.60 is: 9,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.76 : 21,846.32 = 6,237.60 : x
  2. Step 2: Convert to fraction form
    14,561.76/21,846.32 = 6,237.60/x
  3. Step 3: Cross multiply
    14,561.76x = 21,846.32 × 6,237.60
  4. Step 4: Simplify right side
    14,561.76x = 136,268,605.63
  5. Step 5: Solve for x
    x = 136,268,605.63/14,561.76
  6. Step 6: Final answer
    x = 9,357.98

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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.