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Finding the Fourth Proportional to 15,597.72, 23,403.48 and 8,200.50

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Solution

The fourth proportional to 15,597.72, 23,403.48 and 8,200.50 is: 12,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.72 : 23,403.48 = 8,200.50 : x
  2. Step 2: Convert to fraction form
    15,597.72/23,403.48 = 8,200.50/x
  3. Step 3: Cross multiply
    15,597.72x = 23,403.48 × 8,200.50
  4. Step 4: Simplify right side
    15,597.72x = 191,920,237.74
  5. Step 5: Solve for x
    x = 191,920,237.74/15,597.72
  6. Step 6: Final answer
    x = 12,304.38

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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.