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Finding the Fourth Proportional to 15,353.42, 23,032.74 and 4,821.42

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Solution

The fourth proportional to 15,353.42, 23,032.74 and 4,821.42 is: 7,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,353.42 : 23,032.74 = 4,821.42 : x
  2. Step 2: Convert to fraction form
    15,353.42/23,032.74 = 4,821.42/x
  3. Step 3: Cross multiply
    15,353.42x = 23,032.74 × 4,821.42
  4. Step 4: Simplify right side
    15,353.42x = 111,050,513.29
  5. Step 5: Solve for x
    x = 111,050,513.29/15,353.42
  6. Step 6: Final answer
    x = 7,232.95

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Why These Related Problems?

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