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Finding the Fourth Proportional to 19,027.12, 26,256 and 10,642

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Solution

The fourth proportional to 19,027.12, 26,256 and 10,642 is: 14,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,027.12 : 26,256 = 10,642 : x
  2. Step 2: Convert to fraction form
    19,027.12/26,256 = 10,642/x
  3. Step 3: Cross multiply
    19,027.12x = 26,256 × 10,642
  4. Step 4: Simplify right side
    19,027.12x = 279,416,352
  5. Step 5: Solve for x
    x = 279,416,352/19,027.12
  6. Step 6: Final answer
    x = 14,685.16

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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.