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Finding the Fourth Proportional to 24,406.71, 36,596.17 and 9,607.60

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Solution

The fourth proportional to 24,406.71, 36,596.17 and 9,607.60 is: 14,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.71 : 36,596.17 = 9,607.60 : x
  2. Step 2: Convert to fraction form
    24,406.71/36,596.17 = 9,607.60/x
  3. Step 3: Cross multiply
    24,406.71x = 36,596.17 × 9,607.60
  4. Step 4: Simplify right side
    24,406.71x = 351,601,362.89
  5. Step 5: Solve for x
    x = 351,601,362.89/24,406.71
  6. Step 6: Final answer
    x = 14,405.93

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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.