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Finding the Fourth Proportional to 13,098.48, 19,638.12 and 8,423.76

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Solution

The fourth proportional to 13,098.48, 19,638.12 and 8,423.76 is: 12,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.48 : 19,638.12 = 8,423.76 : x
  2. Step 2: Convert to fraction form
    13,098.48/19,638.12 = 8,423.76/x
  3. Step 3: Cross multiply
    13,098.48x = 19,638.12 × 8,423.76
  4. Step 4: Simplify right side
    13,098.48x = 165,426,809.73
  5. Step 5: Solve for x
    x = 165,426,809.73/13,098.48
  6. Step 6: Final answer
    x = 12,629.47

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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.