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Finding the Fourth Proportional to 15,830.88, 23,730.12 and 8,035.44

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Solution

The fourth proportional to 15,830.88, 23,730.12 and 8,035.44 is: 12,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.88 : 23,730.12 = 8,035.44 : x
  2. Step 2: Convert to fraction form
    15,830.88/23,730.12 = 8,035.44/x
  3. Step 3: Cross multiply
    15,830.88x = 23,730.12 × 8,035.44
  4. Step 4: Simplify right side
    15,830.88x = 190,681,955.45
  5. Step 5: Solve for x
    x = 190,681,955.45/15,830.88
  6. Step 6: Final answer
    x = 12,044.94

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1.5x scale

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.