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Finding the Fourth Proportional to 21,541.68, 29,742.26 and 16,497

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Solution

The fourth proportional to 21,541.68, 29,742.26 and 16,497 is: 22,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,541.68 : 29,742.26 = 16,497 : x
  2. Step 2: Convert to fraction form
    21,541.68/29,742.26 = 16,497/x
  3. Step 3: Cross multiply
    21,541.68x = 29,742.26 × 16,497
  4. Step 4: Simplify right side
    21,541.68x = 490,657,980.74
  5. Step 5: Solve for x
    x = 490,657,980.74/21,541.68
  6. Step 6: Final answer
    x = 22,777.15

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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.