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Finding the Fourth Proportional to 13,258.15, 19,871.22 and 5,854.21

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Solution

The fourth proportional to 13,258.15, 19,871.22 and 5,854.21 is: 8,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.15 : 19,871.22 = 5,854.21 : x
  2. Step 2: Convert to fraction form
    13,258.15/19,871.22 = 5,854.21/x
  3. Step 3: Cross multiply
    13,258.15x = 19,871.22 × 5,854.21
  4. Step 4: Simplify right side
    13,258.15x = 116,330,267.11
  5. Step 5: Solve for x
    x = 116,330,267.11/13,258.15
  6. Step 6: Final answer
    x = 8,774.25

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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.