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Finding the Fourth Proportional to 15,544.84, 21,458.10 and 9,256

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Solution

The fourth proportional to 15,544.84, 21,458.10 and 9,256 is: 12,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,544.84 : 21,458.10 = 9,256 : x
  2. Step 2: Convert to fraction form
    15,544.84/21,458.10 = 9,256/x
  3. Step 3: Cross multiply
    15,544.84x = 21,458.10 × 9,256
  4. Step 4: Simplify right side
    15,544.84x = 198,616,173.60
  5. Step 5: Solve for x
    x = 198,616,173.60/15,544.84
  6. Step 6: Final answer
    x = 12,776.98

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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.