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Finding the Fourth Proportional to 17,656.47, 24,368.09 and 10,204.47

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Solution

The fourth proportional to 17,656.47, 24,368.09 and 10,204.47 is: 14,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.47 : 24,368.09 = 10,204.47 : x
  2. Step 2: Convert to fraction form
    17,656.47/24,368.09 = 10,204.47/x
  3. Step 3: Cross multiply
    17,656.47x = 24,368.09 × 10,204.47
  4. Step 4: Simplify right side
    17,656.47x = 248,663,443.36
  5. Step 5: Solve for x
    x = 248,663,443.36/17,656.47
  6. Step 6: Final answer
    x = 14,083.42

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1.5x scale

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.