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Finding the Fourth Proportional to 12,953.53, 19,408.43 and 10,351

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Solution

The fourth proportional to 12,953.53, 19,408.43 and 10,351 is: 15,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.53 : 19,408.43 = 10,351 : x
  2. Step 2: Convert to fraction form
    12,953.53/19,408.43 = 10,351/x
  3. Step 3: Cross multiply
    12,953.53x = 19,408.43 × 10,351
  4. Step 4: Simplify right side
    12,953.53x = 200,896,607.18
  5. Step 5: Solve for x
    x = 200,896,607.18/12,953.53
  6. Step 6: Final answer
    x = 15,509.02

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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.