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Finding the Fourth Proportional to 21,123.72, 31,688.46 and 7,269

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Solution

The fourth proportional to 21,123.72, 31,688.46 and 7,269 is: 10,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.72 : 31,688.46 = 7,269 : x
  2. Step 2: Convert to fraction form
    21,123.72/31,688.46 = 7,269/x
  3. Step 3: Cross multiply
    21,123.72x = 31,688.46 × 7,269
  4. Step 4: Simplify right side
    21,123.72x = 230,343,415.74
  5. Step 5: Solve for x
    x = 230,343,415.74/21,123.72
  6. Step 6: Final answer
    x = 10,904.49

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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.