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Finding the Fourth Proportional to 13,258.67, 19,855.16 and 9,740.30

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Solution

The fourth proportional to 13,258.67, 19,855.16 and 9,740.30 is: 14,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.67 : 19,855.16 = 9,740.30 : x
  2. Step 2: Convert to fraction form
    13,258.67/19,855.16 = 9,740.30/x
  3. Step 3: Cross multiply
    13,258.67x = 19,855.16 × 9,740.30
  4. Step 4: Simplify right side
    13,258.67x = 193,395,166.25
  5. Step 5: Solve for x
    x = 193,395,166.25/13,258.67
  6. Step 6: Final answer
    x = 14,586.32

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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.