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Finding the Fourth Proportional to 23,230.94, 32,071.96 and 15,296.20

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Solution

The fourth proportional to 23,230.94, 32,071.96 and 15,296.20 is: 21,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.94 : 32,071.96 = 15,296.20 : x
  2. Step 2: Convert to fraction form
    23,230.94/32,071.96 = 15,296.20/x
  3. Step 3: Cross multiply
    23,230.94x = 32,071.96 × 15,296.20
  4. Step 4: Simplify right side
    23,230.94x = 490,579,114.55
  5. Step 5: Solve for x
    x = 490,579,114.55/23,230.94
  6. Step 6: Final answer
    x = 21,117.49

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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.