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Finding the Fourth Proportional to 15,897.84, 23,846.76 and 5,509.68

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Solution

The fourth proportional to 15,897.84, 23,846.76 and 5,509.68 is: 8,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.84 : 23,846.76 = 5,509.68 : x
  2. Step 2: Convert to fraction form
    15,897.84/23,846.76 = 5,509.68/x
  3. Step 3: Cross multiply
    15,897.84x = 23,846.76 × 5,509.68
  4. Step 4: Simplify right side
    15,897.84x = 131,388,016.64
  5. Step 5: Solve for x
    x = 131,388,016.64/15,897.84
  6. Step 6: Final answer
    x = 8,264.52

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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.