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Finding the Fourth Proportional to 17,312.34, 23,858.40 and 12,524.16

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Solution

The fourth proportional to 17,312.34, 23,858.40 and 12,524.16 is: 17,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.34 : 23,858.40 = 12,524.16 : x
  2. Step 2: Convert to fraction form
    17,312.34/23,858.40 = 12,524.16/x
  3. Step 3: Cross multiply
    17,312.34x = 23,858.40 × 12,524.16
  4. Step 4: Simplify right side
    17,312.34x = 298,806,418.94
  5. Step 5: Solve for x
    x = 298,806,418.94/17,312.34
  6. Step 6: Final answer
    x = 17,259.74

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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.