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Finding the Fourth Proportional to 15,208.37, 22,815 and 6,443.36

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Solution

The fourth proportional to 15,208.37, 22,815 and 6,443.36 is: 9,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.37 : 22,815 = 6,443.36 : x
  2. Step 2: Convert to fraction form
    15,208.37/22,815 = 6,443.36/x
  3. Step 3: Cross multiply
    15,208.37x = 22,815 × 6,443.36
  4. Step 4: Simplify right side
    15,208.37x = 147,005,258.40
  5. Step 5: Solve for x
    x = 147,005,258.40/15,208.37
  6. Step 6: Final answer
    x = 9,666.08

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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.