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Finding the Fourth Proportional to 15,822.36, 23,737.74 and 4,729.08

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Solution

The fourth proportional to 15,822.36, 23,737.74 and 4,729.08 is: 7,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.36 : 23,737.74 = 4,729.08 : x
  2. Step 2: Convert to fraction form
    15,822.36/23,737.74 = 4,729.08/x
  3. Step 3: Cross multiply
    15,822.36x = 23,737.74 × 4,729.08
  4. Step 4: Simplify right side
    15,822.36x = 112,257,671.48
  5. Step 5: Solve for x
    x = 112,257,671.48/15,822.36
  6. Step 6: Final answer
    x = 7,094.88

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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.