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Finding the Fourth Proportional to 23,882.76, 32,955.59 and 13,809.68

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Solution

The fourth proportional to 23,882.76, 32,955.59 and 13,809.68 is: 19,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.76 : 32,955.59 = 13,809.68 : x
  2. Step 2: Convert to fraction form
    23,882.76/32,955.59 = 13,809.68/x
  3. Step 3: Cross multiply
    23,882.76x = 32,955.59 × 13,809.68
  4. Step 4: Simplify right side
    23,882.76x = 455,106,069.72
  5. Step 5: Solve for x
    x = 455,106,069.72/23,882.76
  6. Step 6: Final answer
    x = 19,055.84

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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.