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Finding the Fourth Proportional to 19,164.50, 26,447.04 and 10,665.98

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Solution

The fourth proportional to 19,164.50, 26,447.04 and 10,665.98 is: 14,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164.50 : 26,447.04 = 10,665.98 : x
  2. Step 2: Convert to fraction form
    19,164.50/26,447.04 = 10,665.98/x
  3. Step 3: Cross multiply
    19,164.50x = 26,447.04 × 10,665.98
  4. Step 4: Simplify right side
    19,164.50x = 282,083,599.70
  5. Step 5: Solve for x
    x = 282,083,599.70/19,164.50
  6. Step 6: Final answer
    x = 14,719.07

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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.