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Finding the Fourth Proportional to 26,114.92, 36,038.67 and 14,178.31

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Solution

The fourth proportional to 26,114.92, 36,038.67 and 14,178.31 is: 19,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114.92 : 36,038.67 = 14,178.31 : x
  2. Step 2: Convert to fraction form
    26,114.92/36,038.67 = 14,178.31/x
  3. Step 3: Cross multiply
    26,114.92x = 36,038.67 × 14,178.31
  4. Step 4: Simplify right side
    26,114.92x = 510,967,364.36
  5. Step 5: Solve for x
    x = 510,967,364.36/26,114.92
  6. Step 6: Final answer
    x = 19,566.11

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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.