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Finding the Fourth Proportional to 13,258.81, 19,893.08 and 7,023.43

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Solution

The fourth proportional to 13,258.81, 19,893.08 and 7,023.43 is: 10,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.81 : 19,893.08 = 7,023.43 : x
  2. Step 2: Convert to fraction form
    13,258.81/19,893.08 = 7,023.43/x
  3. Step 3: Cross multiply
    13,258.81x = 19,893.08 × 7,023.43
  4. Step 4: Simplify right side
    13,258.81x = 139,717,654.86
  5. Step 5: Solve for x
    x = 139,717,654.86/13,258.81
  6. Step 6: Final answer
    x = 10,537.72

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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.