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Finding the Fourth Proportional to 13,415.76, 18,524.80 and 8,708.08

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Solution

The fourth proportional to 13,415.76, 18,524.80 and 8,708.08 is: 12,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.76 : 18,524.80 = 8,708.08 : x
  2. Step 2: Convert to fraction form
    13,415.76/18,524.80 = 8,708.08/x
  3. Step 3: Cross multiply
    13,415.76x = 18,524.80 × 8,708.08
  4. Step 4: Simplify right side
    13,415.76x = 161,315,440.38
  5. Step 5: Solve for x
    x = 161,315,440.38/13,415.76
  6. Step 6: Final answer
    x = 12,024.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.