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Finding the Fourth Proportional to 15,258.23, 22,891 and 6,368.61

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Solution

The fourth proportional to 15,258.23, 22,891 and 6,368.61 is: 9,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.23 : 22,891 = 6,368.61 : x
  2. Step 2: Convert to fraction form
    15,258.23/22,891 = 6,368.61/x
  3. Step 3: Cross multiply
    15,258.23x = 22,891 × 6,368.61
  4. Step 4: Simplify right side
    15,258.23x = 145,783,851.51
  5. Step 5: Solve for x
    x = 145,783,851.51/15,258.23
  6. Step 6: Final answer
    x = 9,554.44

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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.