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Finding the Fourth Proportional to 14,907.50, 20,558.22 and 9,794.02

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Solution

The fourth proportional to 14,907.50, 20,558.22 and 9,794.02 is: 13,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907.50 : 20,558.22 = 9,794.02 : x
  2. Step 2: Convert to fraction form
    14,907.50/20,558.22 = 9,794.02/x
  3. Step 3: Cross multiply
    14,907.50x = 20,558.22 × 9,794.02
  4. Step 4: Simplify right side
    14,907.50x = 201,347,617.84
  5. Step 5: Solve for x
    x = 201,347,617.84/14,907.50
  6. Step 6: Final answer
    x = 13,506.46

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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.