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Finding the Fourth Proportional to 23,768.64, 32,803.36 and 13,832

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Solution

The fourth proportional to 23,768.64, 32,803.36 and 13,832 is: 19,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768.64 : 32,803.36 = 13,832 : x
  2. Step 2: Convert to fraction form
    23,768.64/32,803.36 = 13,832/x
  3. Step 3: Cross multiply
    23,768.64x = 32,803.36 × 13,832
  4. Step 4: Simplify right side
    23,768.64x = 453,736,075.52
  5. Step 5: Solve for x
    x = 453,736,075.52/23,768.64
  6. Step 6: Final answer
    x = 19,089.69

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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.