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Finding the Fourth Proportional to 14,233.64, 19,641.60 and 7,946.42

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Solution

The fourth proportional to 14,233.64, 19,641.60 and 7,946.42 is: 10,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.64 : 19,641.60 = 7,946.42 : x
  2. Step 2: Convert to fraction form
    14,233.64/19,641.60 = 7,946.42/x
  3. Step 3: Cross multiply
    14,233.64x = 19,641.60 × 7,946.42
  4. Step 4: Simplify right side
    14,233.64x = 156,080,304.86
  5. Step 5: Solve for x
    x = 156,080,304.86/14,233.64
  6. Step 6: Final answer
    x = 10,965.60

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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.