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Finding the Fourth Proportional to 17,276, 23,841.60 and 10,208.48

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Solution

The fourth proportional to 17,276, 23,841.60 and 10,208.48 is: 14,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,276 : 23,841.60 = 10,208.48 : x
  2. Step 2: Convert to fraction form
    17,276/23,841.60 = 10,208.48/x
  3. Step 3: Cross multiply
    17,276x = 23,841.60 × 10,208.48
  4. Step 4: Simplify right side
    17,276x = 243,386,496.77
  5. Step 5: Solve for x
    x = 243,386,496.77/17,276
  6. Step 6: Final answer
    x = 14,088.13

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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.