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Finding the Fourth Proportional to 15,827.40, 23,745.86 and 4,734.45

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Solution

The fourth proportional to 15,827.40, 23,745.86 and 4,734.45 is: 7,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.40 : 23,745.86 = 4,734.45 : x
  2. Step 2: Convert to fraction form
    15,827.40/23,745.86 = 4,734.45/x
  3. Step 3: Cross multiply
    15,827.40x = 23,745.86 × 4,734.45
  4. Step 4: Simplify right side
    15,827.40x = 112,423,580.96
  5. Step 5: Solve for x
    x = 112,423,580.96/15,827.40
  6. Step 6: Final answer
    x = 7,103.10

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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.