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Finding the Fourth Proportional to 16,773, 23,146.74 and 9,703.53

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Solution

The fourth proportional to 16,773, 23,146.74 and 9,703.53 is: 13,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,773 : 23,146.74 = 9,703.53 : x
  2. Step 2: Convert to fraction form
    16,773/23,146.74 = 9,703.53/x
  3. Step 3: Cross multiply
    16,773x = 23,146.74 × 9,703.53
  4. Step 4: Simplify right side
    16,773x = 224,605,085.99
  5. Step 5: Solve for x
    x = 224,605,085.99/16,773
  6. Step 6: Final answer
    x = 13,390.87

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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.