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Finding the Fourth Proportional to 21,718.24, 29,970.72 and 11,782.24

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Solution

The fourth proportional to 21,718.24, 29,970.72 and 11,782.24 is: 16,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,718.24 : 29,970.72 = 11,782.24 : x
  2. Step 2: Convert to fraction form
    21,718.24/29,970.72 = 11,782.24/x
  3. Step 3: Cross multiply
    21,718.24x = 29,970.72 × 11,782.24
  4. Step 4: Simplify right side
    21,718.24x = 353,122,216.01
  5. Step 5: Solve for x
    x = 353,122,216.01/21,718.24
  6. Step 6: Final answer
    x = 16,259.25

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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.