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Finding the Fourth Proportional to 17,315.24, 25,972.63 and 8,429.18

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Solution

The fourth proportional to 17,315.24, 25,972.63 and 8,429.18 is: 12,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,315.24 : 25,972.63 = 8,429.18 : x
  2. Step 2: Convert to fraction form
    17,315.24/25,972.63 = 8,429.18/x
  3. Step 3: Cross multiply
    17,315.24x = 25,972.63 × 8,429.18
  4. Step 4: Simplify right side
    17,315.24x = 218,927,973.34
  5. Step 5: Solve for x
    x = 218,927,973.34/17,315.24
  6. Step 6: Final answer
    x = 12,643.66

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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.