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Finding the Fourth Proportional to 25,222.16, 37,838.84 and 7,693.35

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Solution

The fourth proportional to 25,222.16, 37,838.84 and 7,693.35 is: 11,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222.16 : 37,838.84 = 7,693.35 : x
  2. Step 2: Convert to fraction form
    25,222.16/37,838.84 = 7,693.35/x
  3. Step 3: Cross multiply
    25,222.16x = 37,838.84 × 7,693.35
  4. Step 4: Simplify right side
    25,222.16x = 291,107,401.25
  5. Step 5: Solve for x
    x = 291,107,401.25/25,222.16
  6. Step 6: Final answer
    x = 11,541.73

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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.