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Finding the Fourth Proportional to 15,518.16, 23,272.92 and 6,282

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Solution

The fourth proportional to 15,518.16, 23,272.92 and 6,282 is: 9,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,518.16 : 23,272.92 = 6,282 : x
  2. Step 2: Convert to fraction form
    15,518.16/23,272.92 = 6,282/x
  3. Step 3: Cross multiply
    15,518.16x = 23,272.92 × 6,282
  4. Step 4: Simplify right side
    15,518.16x = 146,200,483.44
  5. Step 5: Solve for x
    x = 146,200,483.44/15,518.16
  6. Step 6: Final answer
    x = 9,421.25

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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.