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Finding the Fourth Proportional to 21,490, 32,249.40 and 9,180.88

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Solution

The fourth proportional to 21,490, 32,249.40 and 9,180.88 is: 13,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490 : 32,249.40 = 9,180.88 : x
  2. Step 2: Convert to fraction form
    21,490/32,249.40 = 9,180.88/x
  3. Step 3: Cross multiply
    21,490x = 32,249.40 × 9,180.88
  4. Step 4: Simplify right side
    21,490x = 296,077,871.47
  5. Step 5: Solve for x
    x = 296,077,871.47/21,490
  6. Step 6: Final answer
    x = 13,777.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.