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Finding the Fourth Proportional to 23,980.19, 35,970.35 and 8,394.17

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Solution

The fourth proportional to 23,980.19, 35,970.35 and 8,394.17 is: 12,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,980.19 : 35,970.35 = 8,394.17 : x
  2. Step 2: Convert to fraction form
    23,980.19/35,970.35 = 8,394.17/x
  3. Step 3: Cross multiply
    23,980.19x = 35,970.35 × 8,394.17
  4. Step 4: Simplify right side
    23,980.19x = 301,941,011.04
  5. Step 5: Solve for x
    x = 301,941,011.04/23,980.19
  6. Step 6: Final answer
    x = 12,591.27

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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.