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Finding the Fourth Proportional to 13,460.30, 20,212.05 and 9,097.10

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Solution

The fourth proportional to 13,460.30, 20,212.05 and 9,097.10 is: 13,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.30 : 20,212.05 = 9,097.10 : x
  2. Step 2: Convert to fraction form
    13,460.30/20,212.05 = 9,097.10/x
  3. Step 3: Cross multiply
    13,460.30x = 20,212.05 × 9,097.10
  4. Step 4: Simplify right side
    13,460.30x = 183,871,040.06
  5. Step 5: Solve for x
    x = 183,871,040.06/13,460.30
  6. Step 6: Final answer
    x = 13,660.25

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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.