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Finding the Fourth Proportional to 15,969.34, 23,952.12 and 4,283.38

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Solution

The fourth proportional to 15,969.34, 23,952.12 and 4,283.38 is: 6,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.34 : 23,952.12 = 4,283.38 : x
  2. Step 2: Convert to fraction form
    15,969.34/23,952.12 = 4,283.38/x
  3. Step 3: Cross multiply
    15,969.34x = 23,952.12 × 4,283.38
  4. Step 4: Simplify right side
    15,969.34x = 102,596,031.77
  5. Step 5: Solve for x
    x = 102,596,031.77/15,969.34
  6. Step 6: Final answer
    x = 6,424.56

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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.