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Finding the Fourth Proportional to 21,561.64, 29,744.52 and 14,009.20

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Solution

The fourth proportional to 21,561.64, 29,744.52 and 14,009.20 is: 19,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,561.64 : 29,744.52 = 14,009.20 : x
  2. Step 2: Convert to fraction form
    21,561.64/29,744.52 = 14,009.20/x
  3. Step 3: Cross multiply
    21,561.64x = 29,744.52 × 14,009.20
  4. Step 4: Simplify right side
    21,561.64x = 416,696,929.58
  5. Step 5: Solve for x
    x = 416,696,929.58/21,561.64
  6. Step 6: Final answer
    x = 19,325.85

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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.