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Finding the Fourth Proportional to 12,837.96, 19,258.02 and 4,071.06

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Solution

The fourth proportional to 12,837.96, 19,258.02 and 4,071.06 is: 6,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.96 : 19,258.02 = 4,071.06 : x
  2. Step 2: Convert to fraction form
    12,837.96/19,258.02 = 4,071.06/x
  3. Step 3: Cross multiply
    12,837.96x = 19,258.02 × 4,071.06
  4. Step 4: Simplify right side
    12,837.96x = 78,400,554.90
  5. Step 5: Solve for x
    x = 78,400,554.90/12,837.96
  6. Step 6: Final answer
    x = 6,106.93

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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.