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Finding the Fourth Proportional to 15,762.66, 21,761.37 and 10,464.72

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Solution

The fourth proportional to 15,762.66, 21,761.37 and 10,464.72 is: 14,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.66 : 21,761.37 = 10,464.72 : x
  2. Step 2: Convert to fraction form
    15,762.66/21,761.37 = 10,464.72/x
  3. Step 3: Cross multiply
    15,762.66x = 21,761.37 × 10,464.72
  4. Step 4: Simplify right side
    15,762.66x = 227,726,643.87
  5. Step 5: Solve for x
    x = 227,726,643.87/15,762.66
  6. Step 6: Final answer
    x = 14,447.22

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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.