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Finding the Fourth Proportional to 34,246.08, 51,354.54 and 13,455

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Solution

The fourth proportional to 34,246.08, 51,354.54 and 13,455 is: 20,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246.08 : 51,354.54 = 13,455 : x
  2. Step 2: Convert to fraction form
    34,246.08/51,354.54 = 13,455/x
  3. Step 3: Cross multiply
    34,246.08x = 51,354.54 × 13,455
  4. Step 4: Simplify right side
    34,246.08x = 690,975,335.70
  5. Step 5: Solve for x
    x = 690,975,335.70/34,246.08
  6. Step 6: Final answer
    x = 20,176.77

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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.