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Finding the Fourth Proportional to 25,764.30, 38,646.54 and 9,124.34

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Solution

The fourth proportional to 25,764.30, 38,646.54 and 9,124.34 is: 13,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764.30 : 38,646.54 = 9,124.34 : x
  2. Step 2: Convert to fraction form
    25,764.30/38,646.54 = 9,124.34/x
  3. Step 3: Cross multiply
    25,764.30x = 38,646.54 × 9,124.34
  4. Step 4: Simplify right side
    25,764.30x = 352,624,170.78
  5. Step 5: Solve for x
    x = 352,624,170.78/25,764.30
  6. Step 6: Final answer
    x = 13,686.54

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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.