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Finding the Fourth Proportional to 15,037.68, 22,559.37 and 4,647

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Solution

The fourth proportional to 15,037.68, 22,559.37 and 4,647 is: 6,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,037.68 : 22,559.37 = 4,647 : x
  2. Step 2: Convert to fraction form
    15,037.68/22,559.37 = 4,647/x
  3. Step 3: Cross multiply
    15,037.68x = 22,559.37 × 4,647
  4. Step 4: Simplify right side
    15,037.68x = 104,833,392.39
  5. Step 5: Solve for x
    x = 104,833,392.39/15,037.68
  6. Step 6: Final answer
    x = 6,971.38

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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.