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Finding the Fourth Proportional to 16,573.36, 22,871.76 and 9,502

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Solution

The fourth proportional to 16,573.36, 22,871.76 and 9,502 is: 13,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,573.36 : 22,871.76 = 9,502 : x
  2. Step 2: Convert to fraction form
    16,573.36/22,871.76 = 9,502/x
  3. Step 3: Cross multiply
    16,573.36x = 22,871.76 × 9,502
  4. Step 4: Simplify right side
    16,573.36x = 217,327,463.52
  5. Step 5: Solve for x
    x = 217,327,463.52/16,573.36
  6. Step 6: Final answer
    x = 13,113.06

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Why These Related Problems?

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