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Finding the Fourth Proportional to 13,873.60, 19,132.74 and 9,403.84

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Solution

The fourth proportional to 13,873.60, 19,132.74 and 9,403.84 is: 12,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.60 : 19,132.74 = 9,403.84 : x
  2. Step 2: Convert to fraction form
    13,873.60/19,132.74 = 9,403.84/x
  3. Step 3: Cross multiply
    13,873.60x = 19,132.74 × 9,403.84
  4. Step 4: Simplify right side
    13,873.60x = 179,921,225.72
  5. Step 5: Solve for x
    x = 179,921,225.72/13,873.60
  6. Step 6: Final answer
    x = 12,968.60

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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.