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Finding the Fourth Proportional to 23,835.63, 35,742.33 and 8,842.15

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Solution

The fourth proportional to 23,835.63, 35,742.33 and 8,842.15 is: 13,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.63 : 35,742.33 = 8,842.15 : x
  2. Step 2: Convert to fraction form
    23,835.63/35,742.33 = 8,842.15/x
  3. Step 3: Cross multiply
    23,835.63x = 35,742.33 × 8,842.15
  4. Step 4: Simplify right side
    23,835.63x = 316,039,043.21
  5. Step 5: Solve for x
    x = 316,039,043.21/23,835.63
  6. Step 6: Final answer
    x = 13,259.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.