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Finding the Fourth Proportional to 19,978.50, 27,570.33 and 11,146.50

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Solution

The fourth proportional to 19,978.50, 27,570.33 and 11,146.50 is: 15,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.50 : 27,570.33 = 11,146.50 : x
  2. Step 2: Convert to fraction form
    19,978.50/27,570.33 = 11,146.50/x
  3. Step 3: Cross multiply
    19,978.50x = 27,570.33 × 11,146.50
  4. Step 4: Simplify right side
    19,978.50x = 307,312,683.35
  5. Step 5: Solve for x
    x = 307,312,683.35/19,978.50
  6. Step 6: Final answer
    x = 15,382.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.