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Finding the Fourth Proportional to 25,517, 38,277.66 and 7,049

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Solution

The fourth proportional to 25,517, 38,277.66 and 7,049 is: 10,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,517 : 38,277.66 = 7,049 : x
  2. Step 2: Convert to fraction form
    25,517/38,277.66 = 7,049/x
  3. Step 3: Cross multiply
    25,517x = 38,277.66 × 7,049
  4. Step 4: Simplify right side
    25,517x = 269,819,225.34
  5. Step 5: Solve for x
    x = 269,819,225.34/25,517
  6. Step 6: Final answer
    x = 10,574.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.