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Finding the Fourth Proportional to 14,242.41, 19,648.49 and 9,528.21

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Solution

The fourth proportional to 14,242.41, 19,648.49 and 9,528.21 is: 13,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.41 : 19,648.49 = 9,528.21 : x
  2. Step 2: Convert to fraction form
    14,242.41/19,648.49 = 9,528.21/x
  3. Step 3: Cross multiply
    14,242.41x = 19,648.49 × 9,528.21
  4. Step 4: Simplify right side
    14,242.41x = 187,214,938.90
  5. Step 5: Solve for x
    x = 187,214,938.90/14,242.41
  6. Step 6: Final answer
    x = 13,144.89

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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.