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Finding the Fourth Proportional to 13,101.48, 19,661.74 and 9,823.41

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Solution

The fourth proportional to 13,101.48, 19,661.74 and 9,823.41 is: 14,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.48 : 19,661.74 = 9,823.41 : x
  2. Step 2: Convert to fraction form
    13,101.48/19,661.74 = 9,823.41/x
  3. Step 3: Cross multiply
    13,101.48x = 19,661.74 × 9,823.41
  4. Step 4: Simplify right side
    13,101.48x = 193,145,308.77
  5. Step 5: Solve for x
    x = 193,145,308.77/13,101.48
  6. Step 6: Final answer
    x = 14,742.25

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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.