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Finding the Fourth Proportional to 14,656.90, 20,226.59 and 7,942.52

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Solution

The fourth proportional to 14,656.90, 20,226.59 and 7,942.52 is: 10,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.90 : 20,226.59 = 7,942.52 : x
  2. Step 2: Convert to fraction form
    14,656.90/20,226.59 = 7,942.52/x
  3. Step 3: Cross multiply
    14,656.90x = 20,226.59 × 7,942.52
  4. Step 4: Simplify right side
    14,656.90x = 160,650,106.46
  5. Step 5: Solve for x
    x = 160,650,106.46/14,656.90
  6. Step 6: Final answer
    x = 10,960.72

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