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Finding the Fourth Proportional to 13,970.31, 19,283.12 and 8,309.04

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Solution

The fourth proportional to 13,970.31, 19,283.12 and 8,309.04 is: 11,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.31 : 19,283.12 = 8,309.04 : x
  2. Step 2: Convert to fraction form
    13,970.31/19,283.12 = 8,309.04/x
  3. Step 3: Cross multiply
    13,970.31x = 19,283.12 × 8,309.04
  4. Step 4: Simplify right side
    13,970.31x = 160,224,173.86
  5. Step 5: Solve for x
    x = 160,224,173.86/13,970.31
  6. Step 6: Final answer
    x = 11,468.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.