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Finding the Fourth Proportional to 23,212, 32,036.61 and 13,780.36

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Solution

The fourth proportional to 23,212, 32,036.61 and 13,780.36 is: 19,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212 : 32,036.61 = 13,780.36 : x
  2. Step 2: Convert to fraction form
    23,212/32,036.61 = 13,780.36/x
  3. Step 3: Cross multiply
    23,212x = 32,036.61 × 13,780.36
  4. Step 4: Simplify right side
    23,212x = 441,476,018.98
  5. Step 5: Solve for x
    x = 441,476,018.98/23,212
  6. Step 6: Final answer
    x = 19,019.30

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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.