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Finding the Fourth Proportional to 14,775.92, 20,394.06 and 9,397.32

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Solution

The fourth proportional to 14,775.92, 20,394.06 and 9,397.32 is: 12,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.92 : 20,394.06 = 9,397.32 : x
  2. Step 2: Convert to fraction form
    14,775.92/20,394.06 = 9,397.32/x
  3. Step 3: Cross multiply
    14,775.92x = 20,394.06 × 9,397.32
  4. Step 4: Simplify right side
    14,775.92x = 191,649,449.06
  5. Step 5: Solve for x
    x = 191,649,449.06/14,775.92
  6. Step 6: Final answer
    x = 12,970.39

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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.