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Finding the Fourth Proportional to 26,762.34, 36,934.12 and 14,826.82

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Solution

The fourth proportional to 26,762.34, 36,934.12 and 14,826.82 is: 20,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,762.34 : 36,934.12 = 14,826.82 : x
  2. Step 2: Convert to fraction form
    26,762.34/36,934.12 = 14,826.82/x
  3. Step 3: Cross multiply
    26,762.34x = 36,934.12 × 14,826.82
  4. Step 4: Simplify right side
    26,762.34x = 547,615,549.10
  5. Step 5: Solve for x
    x = 547,615,549.10/26,762.34
  6. Step 6: Final answer
    x = 20,462.17

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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.