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Finding the Fourth Proportional to 13,498.73, 20,254.93 and 9,106.96

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Solution

The fourth proportional to 13,498.73, 20,254.93 and 9,106.96 is: 13,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.73 : 20,254.93 = 9,106.96 : x
  2. Step 2: Convert to fraction form
    13,498.73/20,254.93 = 9,106.96/x
  3. Step 3: Cross multiply
    13,498.73x = 20,254.93 × 9,106.96
  4. Step 4: Simplify right side
    13,498.73x = 184,460,784.81
  5. Step 5: Solve for x
    x = 184,460,784.81/13,498.73
  6. Step 6: Final answer
    x = 13,665.05

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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.