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Finding the Fourth Proportional to 15,920.84, 23,886.08 and 6,428.28

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Solution

The fourth proportional to 15,920.84, 23,886.08 and 6,428.28 is: 9,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.84 : 23,886.08 = 6,428.28 : x
  2. Step 2: Convert to fraction form
    15,920.84/23,886.08 = 6,428.28/x
  3. Step 3: Cross multiply
    15,920.84x = 23,886.08 × 6,428.28
  4. Step 4: Simplify right side
    15,920.84x = 153,546,410.34
  5. Step 5: Solve for x
    x = 153,546,410.34/15,920.84
  6. Step 6: Final answer
    x = 9,644.37

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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.