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Finding the Fourth Proportional to 14,461.80, 19,952.64 and 9,433.08

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Solution

The fourth proportional to 14,461.80, 19,952.64 and 9,433.08 is: 13,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.80 : 19,952.64 = 9,433.08 : x
  2. Step 2: Convert to fraction form
    14,461.80/19,952.64 = 9,433.08/x
  3. Step 3: Cross multiply
    14,461.80x = 19,952.64 × 9,433.08
  4. Step 4: Simplify right side
    14,461.80x = 188,214,849.33
  5. Step 5: Solve for x
    x = 188,214,849.33/14,461.80
  6. Step 6: Final answer
    x = 13,014.62

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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.