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Finding the Fourth Proportional to 25,558.99, 38,354.42 and 9,765.43

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Solution

The fourth proportional to 25,558.99, 38,354.42 and 9,765.43 is: 14,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558.99 : 38,354.42 = 9,765.43 : x
  2. Step 2: Convert to fraction form
    25,558.99/38,354.42 = 9,765.43/x
  3. Step 3: Cross multiply
    25,558.99x = 38,354.42 × 9,765.43
  4. Step 4: Simplify right side
    25,558.99x = 374,547,332.23
  5. Step 5: Solve for x
    x = 374,547,332.23/25,558.99
  6. Step 6: Final answer
    x = 14,654.23

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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.