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Finding the Fourth Proportional to 15,930.84, 23,905.48 and 6,569.11

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Solution

The fourth proportional to 15,930.84, 23,905.48 and 6,569.11 is: 9,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.84 : 23,905.48 = 6,569.11 : x
  2. Step 2: Convert to fraction form
    15,930.84/23,905.48 = 6,569.11/x
  3. Step 3: Cross multiply
    15,930.84x = 23,905.48 × 6,569.11
  4. Step 4: Simplify right side
    15,930.84x = 157,037,727.72
  5. Step 5: Solve for x
    x = 157,037,727.72/15,930.84
  6. Step 6: Final answer
    x = 9,857.47

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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.