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Finding the Fourth Proportional to 25,842.56, 35,666.03 and 15,768.86

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Solution

The fourth proportional to 25,842.56, 35,666.03 and 15,768.86 is: 21,763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.56 : 35,666.03 = 15,768.86 : x
  2. Step 2: Convert to fraction form
    25,842.56/35,666.03 = 15,768.86/x
  3. Step 3: Cross multiply
    25,842.56x = 35,666.03 × 15,768.86
  4. Step 4: Simplify right side
    25,842.56x = 562,412,376.65
  5. Step 5: Solve for x
    x = 562,412,376.65/25,842.56
  6. Step 6: Final answer
    x = 21,763.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.