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Finding the Fourth Proportional to 25,608.57, 38,386.48 and 9,809.30

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Solution

The fourth proportional to 25,608.57, 38,386.48 and 9,809.30 is: 14,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,608.57 : 38,386.48 = 9,809.30 : x
  2. Step 2: Convert to fraction form
    25,608.57/38,386.48 = 9,809.30/x
  3. Step 3: Cross multiply
    25,608.57x = 38,386.48 × 9,809.30
  4. Step 4: Simplify right side
    25,608.57x = 376,544,498.26
  5. Step 5: Solve for x
    x = 376,544,498.26/25,608.57
  6. Step 6: Final answer
    x = 14,703.85

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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.