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Finding the Fourth Proportional to 15,822.03, 23,732.19 and 8,030.64

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Solution

The fourth proportional to 15,822.03, 23,732.19 and 8,030.64 is: 12,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.03 : 23,732.19 = 8,030.64 : x
  2. Step 2: Convert to fraction form
    15,822.03/23,732.19 = 8,030.64/x
  3. Step 3: Cross multiply
    15,822.03x = 23,732.19 × 8,030.64
  4. Step 4: Simplify right side
    15,822.03x = 190,584,674.30
  5. Step 5: Solve for x
    x = 190,584,674.30/15,822.03
  6. Step 6: Final answer
    x = 12,045.53

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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.