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Finding the Fourth Proportional to 14,565.58, 20,097.26 and 9,268.18

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Solution

The fourth proportional to 14,565.58, 20,097.26 and 9,268.18 is: 12,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.58 : 20,097.26 = 9,268.18 : x
  2. Step 2: Convert to fraction form
    14,565.58/20,097.26 = 9,268.18/x
  3. Step 3: Cross multiply
    14,565.58x = 20,097.26 × 9,268.18
  4. Step 4: Simplify right side
    14,565.58x = 186,265,023.19
  5. Step 5: Solve for x
    x = 186,265,023.19/14,565.58
  6. Step 6: Final answer
    x = 12,788.03

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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.