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Finding the Fourth Proportional to 12,826.34, 19,188.92 and 9,715.34

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Solution

The fourth proportional to 12,826.34, 19,188.92 and 9,715.34 is: 14,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.34 : 19,188.92 = 9,715.34 : x
  2. Step 2: Convert to fraction form
    12,826.34/19,188.92 = 9,715.34/x
  3. Step 3: Cross multiply
    12,826.34x = 19,188.92 × 9,715.34
  4. Step 4: Simplify right side
    12,826.34x = 186,426,882.03
  5. Step 5: Solve for x
    x = 186,426,882.03/12,826.34
  6. Step 6: Final answer
    x = 14,534.69

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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.