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Finding the Fourth Proportional to 25,477.69, 38,208.07 and 12,143.22

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Solution

The fourth proportional to 25,477.69, 38,208.07 and 12,143.22 is: 18,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.69 : 38,208.07 = 12,143.22 : x
  2. Step 2: Convert to fraction form
    25,477.69/38,208.07 = 12,143.22/x
  3. Step 3: Cross multiply
    25,477.69x = 38,208.07 × 12,143.22
  4. Step 4: Simplify right side
    25,477.69x = 463,968,939.07
  5. Step 5: Solve for x
    x = 463,968,939.07/25,477.69
  6. Step 6: Final answer
    x = 18,210.80

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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.