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Finding the Fourth Proportional to 26,348.32, 36,361.74 and 14,412.16

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Solution

The fourth proportional to 26,348.32, 36,361.74 and 14,412.16 is: 19,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,348.32 : 36,361.74 = 14,412.16 : x
  2. Step 2: Convert to fraction form
    26,348.32/36,361.74 = 14,412.16/x
  3. Step 3: Cross multiply
    26,348.32x = 36,361.74 × 14,412.16
  4. Step 4: Simplify right side
    26,348.32x = 524,051,214.76
  5. Step 5: Solve for x
    x = 524,051,214.76/26,348.32
  6. Step 6: Final answer
    x = 19,889.36

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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.