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Finding the Fourth Proportional to 16,405.68, 22,632.74 and 10,032.55

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Solution

The fourth proportional to 16,405.68, 22,632.74 and 10,032.55 is: 13,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.68 : 22,632.74 = 10,032.55 : x
  2. Step 2: Convert to fraction form
    16,405.68/22,632.74 = 10,032.55/x
  3. Step 3: Cross multiply
    16,405.68x = 22,632.74 × 10,032.55
  4. Step 4: Simplify right side
    16,405.68x = 227,063,988.94
  5. Step 5: Solve for x
    x = 227,063,988.94/16,405.68
  6. Step 6: Final answer
    x = 13,840.57

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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.