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Finding the Fourth Proportional to 19,232.96, 26,541.96 and 10,850

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Solution

The fourth proportional to 19,232.96, 26,541.96 and 10,850 is: 14,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232.96 : 26,541.96 = 10,850 : x
  2. Step 2: Convert to fraction form
    19,232.96/26,541.96 = 10,850/x
  3. Step 3: Cross multiply
    19,232.96x = 26,541.96 × 10,850
  4. Step 4: Simplify right side
    19,232.96x = 287,980,266
  5. Step 5: Solve for x
    x = 287,980,266/19,232.96
  6. Step 6: Final answer
    x = 14,973.27

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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.