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Finding the Fourth Proportional to 15,106.77, 22,662.47 and 7,707.20

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Solution

The fourth proportional to 15,106.77, 22,662.47 and 7,707.20 is: 11,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.77 : 22,662.47 = 7,707.20 : x
  2. Step 2: Convert to fraction form
    15,106.77/22,662.47 = 7,707.20/x
  3. Step 3: Cross multiply
    15,106.77x = 22,662.47 × 7,707.20
  4. Step 4: Simplify right side
    15,106.77x = 174,664,036.94
  5. Step 5: Solve for x
    x = 174,664,036.94/15,106.77
  6. Step 6: Final answer
    x = 11,561.97

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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.