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Finding the Fourth Proportional to 15,509.77, 23,260.77 and 6,146.56

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Solution

The fourth proportional to 15,509.77, 23,260.77 and 6,146.56 is: 9,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.77 : 23,260.77 = 6,146.56 : x
  2. Step 2: Convert to fraction form
    15,509.77/23,260.77 = 6,146.56/x
  3. Step 3: Cross multiply
    15,509.77x = 23,260.77 × 6,146.56
  4. Step 4: Simplify right side
    15,509.77x = 142,973,718.45
  5. Step 5: Solve for x
    x = 142,973,718.45/15,509.77
  6. Step 6: Final answer
    x = 9,218.30

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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.