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Finding the Fourth Proportional to 19,985.49, 29,984.24 and 9,463.53

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Solution

The fourth proportional to 19,985.49, 29,984.24 and 9,463.53 is: 14,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.49 : 29,984.24 = 9,463.53 : x
  2. Step 2: Convert to fraction form
    19,985.49/29,984.24 = 9,463.53/x
  3. Step 3: Cross multiply
    19,985.49x = 29,984.24 × 9,463.53
  4. Step 4: Simplify right side
    19,985.49x = 283,756,707.45
  5. Step 5: Solve for x
    x = 283,756,707.45/19,985.49
  6. Step 6: Final answer
    x = 14,198.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.