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Finding the Fourth Proportional to 14,257.60, 21,386.40 and 9,086.40

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Solution

The fourth proportional to 14,257.60, 21,386.40 and 9,086.40 is: 13,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.60 : 21,386.40 = 9,086.40 : x
  2. Step 2: Convert to fraction form
    14,257.60/21,386.40 = 9,086.40/x
  3. Step 3: Cross multiply
    14,257.60x = 21,386.40 × 9,086.40
  4. Step 4: Simplify right side
    14,257.60x = 194,325,384.96
  5. Step 5: Solve for x
    x = 194,325,384.96/14,257.60
  6. Step 6: Final answer
    x = 13,629.60

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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.