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Finding the Fourth Proportional to 14,532.60, 20,054.32 and 9,494.40

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Solution

The fourth proportional to 14,532.60, 20,054.32 and 9,494.40 is: 13,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.60 : 20,054.32 = 9,494.40 : x
  2. Step 2: Convert to fraction form
    14,532.60/20,054.32 = 9,494.40/x
  3. Step 3: Cross multiply
    14,532.60x = 20,054.32 × 9,494.40
  4. Step 4: Simplify right side
    14,532.60x = 190,403,735.81
  5. Step 5: Solve for x
    x = 190,403,735.81/14,532.60
  6. Step 6: Final answer
    x = 13,101.84

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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.