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Finding the Fourth Proportional to 15,782.64, 21,762.96 and 10,747.68

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Solution

The fourth proportional to 15,782.64, 21,762.96 and 10,747.68 is: 14,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.64 : 21,762.96 = 10,747.68 : x
  2. Step 2: Convert to fraction form
    15,782.64/21,762.96 = 10,747.68/x
  3. Step 3: Cross multiply
    15,782.64x = 21,762.96 × 10,747.68
  4. Step 4: Simplify right side
    15,782.64x = 233,901,329.93
  5. Step 5: Solve for x
    x = 233,901,329.93/15,782.64
  6. Step 6: Final answer
    x = 14,820.17

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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.