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Finding the Fourth Proportional to 13,973.64, 20,941.94 and 10,258.50

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Solution

The fourth proportional to 13,973.64, 20,941.94 and 10,258.50 is: 15,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.64 : 20,941.94 = 10,258.50 : x
  2. Step 2: Convert to fraction form
    13,973.64/20,941.94 = 10,258.50/x
  3. Step 3: Cross multiply
    13,973.64x = 20,941.94 × 10,258.50
  4. Step 4: Simplify right side
    13,973.64x = 214,832,891.49
  5. Step 5: Solve for x
    x = 214,832,891.49/13,973.64
  6. Step 6: Final answer
    x = 15,374.15

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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.