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Finding the Fourth Proportional to 12,237, 16,888.50 and 7,269

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Solution

The fourth proportional to 12,237, 16,888.50 and 7,269 is: 10,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237 : 16,888.50 = 7,269 : x
  2. Step 2: Convert to fraction form
    12,237/16,888.50 = 7,269/x
  3. Step 3: Cross multiply
    12,237x = 16,888.50 × 7,269
  4. Step 4: Simplify right side
    12,237x = 122,762,506.50
  5. Step 5: Solve for x
    x = 122,762,506.50/12,237
  6. Step 6: Final answer
    x = 10,032.08

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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.