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Finding the Fourth Proportional to 26,299.12, 36,291.72 and 14,362

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Solution

The fourth proportional to 26,299.12, 36,291.72 and 14,362 is: 19,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,299.12 : 36,291.72 = 14,362 : x
  2. Step 2: Convert to fraction form
    26,299.12/36,291.72 = 14,362/x
  3. Step 3: Cross multiply
    26,299.12x = 36,291.72 × 14,362
  4. Step 4: Simplify right side
    26,299.12x = 521,221,682.64
  5. Step 5: Solve for x
    x = 521,221,682.64/26,299.12
  6. Step 6: Final answer
    x = 19,818.98

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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.