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Finding the Fourth Proportional to 23,477.41, 32,399.08 and 12,866.81

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Solution

The fourth proportional to 23,477.41, 32,399.08 and 12,866.81 is: 17,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.41 : 32,399.08 = 12,866.81 : x
  2. Step 2: Convert to fraction form
    23,477.41/32,399.08 = 12,866.81/x
  3. Step 3: Cross multiply
    23,477.41x = 32,399.08 × 12,866.81
  4. Step 4: Simplify right side
    23,477.41x = 416,872,806.53
  5. Step 5: Solve for x
    x = 416,872,806.53/23,477.41
  6. Step 6: Final answer
    x = 17,756.34

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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.