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Finding the Fourth Proportional to 14,866.95, 20,530.26 and 9,570.96

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Solution

The fourth proportional to 14,866.95, 20,530.26 and 9,570.96 is: 13,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.95 : 20,530.26 = 9,570.96 : x
  2. Step 2: Convert to fraction form
    14,866.95/20,530.26 = 9,570.96/x
  3. Step 3: Cross multiply
    14,866.95x = 20,530.26 × 9,570.96
  4. Step 4: Simplify right side
    14,866.95x = 196,494,297.25
  5. Step 5: Solve for x
    x = 196,494,297.25/14,866.95
  6. Step 6: Final answer
    x = 13,216.85

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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.