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Finding the Fourth Proportional to 23,886.60, 32,964.16 and 13,814.04

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Solution

The fourth proportional to 23,886.60, 32,964.16 and 13,814.04 is: 19,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.60 : 32,964.16 = 13,814.04 : x
  2. Step 2: Convert to fraction form
    23,886.60/32,964.16 = 13,814.04/x
  3. Step 3: Cross multiply
    23,886.60x = 32,964.16 × 13,814.04
  4. Step 4: Simplify right side
    23,886.60x = 455,368,224.81
  5. Step 5: Solve for x
    x = 455,368,224.81/23,886.60
  6. Step 6: Final answer
    x = 19,063.75

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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.