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Finding the Fourth Proportional to 14,565.26, 21,832.72 and 9,885.64

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Solution

The fourth proportional to 14,565.26, 21,832.72 and 9,885.64 is: 14,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.26 : 21,832.72 = 9,885.64 : x
  2. Step 2: Convert to fraction form
    14,565.26/21,832.72 = 9,885.64/x
  3. Step 3: Cross multiply
    14,565.26x = 21,832.72 × 9,885.64
  4. Step 4: Simplify right side
    14,565.26x = 215,830,410.14
  5. Step 5: Solve for x
    x = 215,830,410.14/14,565.26
  6. Step 6: Final answer
    x = 14,818.16

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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.