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Finding the Fourth Proportional to 14,906.58, 20,565.18 and 9,604.50

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Solution

The fourth proportional to 14,906.58, 20,565.18 and 9,604.50 is: 13,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.58 : 20,565.18 = 9,604.50 : x
  2. Step 2: Convert to fraction form
    14,906.58/20,565.18 = 9,604.50/x
  3. Step 3: Cross multiply
    14,906.58x = 20,565.18 × 9,604.50
  4. Step 4: Simplify right side
    14,906.58x = 197,518,271.31
  5. Step 5: Solve for x
    x = 197,518,271.31/14,906.58
  6. Step 6: Final answer
    x = 13,250.41

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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.