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Finding the Fourth Proportional to 25,810.35, 38,710.89 and 6,835.10

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Solution

The fourth proportional to 25,810.35, 38,710.89 and 6,835.10 is: 10,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.35 : 38,710.89 = 6,835.10 : x
  2. Step 2: Convert to fraction form
    25,810.35/38,710.89 = 6,835.10/x
  3. Step 3: Cross multiply
    25,810.35x = 38,710.89 × 6,835.10
  4. Step 4: Simplify right side
    25,810.35x = 264,592,828.43
  5. Step 5: Solve for x
    x = 264,592,828.43/25,810.35
  6. Step 6: Final answer
    x = 10,251.42

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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.