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Finding the Fourth Proportional to 13,970.40, 20,931.22 and 11,645.35

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Solution

The fourth proportional to 13,970.40, 20,931.22 and 11,645.35 is: 17,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.40 : 20,931.22 = 11,645.35 : x
  2. Step 2: Convert to fraction form
    13,970.40/20,931.22 = 11,645.35/x
  3. Step 3: Cross multiply
    13,970.40x = 20,931.22 × 11,645.35
  4. Step 4: Simplify right side
    13,970.40x = 243,751,382.83
  5. Step 5: Solve for x
    x = 243,751,382.83/13,970.40
  6. Step 6: Final answer
    x = 17,447.70

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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.