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Finding the Fourth Proportional to 21,494.94, 32,237.58 and 9,029.04

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Solution

The fourth proportional to 21,494.94, 32,237.58 and 9,029.04 is: 13,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.94 : 32,237.58 = 9,029.04 : x
  2. Step 2: Convert to fraction form
    21,494.94/32,237.58 = 9,029.04/x
  3. Step 3: Cross multiply
    21,494.94x = 32,237.58 × 9,029.04
  4. Step 4: Simplify right side
    21,494.94x = 291,074,399.32
  5. Step 5: Solve for x
    x = 291,074,399.32/21,494.94
  6. Step 6: Final answer
    x = 13,541.53

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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.