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Finding the Fourth Proportional to 17,431.32, 24,058.74 and 10,356.38

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Solution

The fourth proportional to 17,431.32, 24,058.74 and 10,356.38 is: 14,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.32 : 24,058.74 = 10,356.38 : x
  2. Step 2: Convert to fraction form
    17,431.32/24,058.74 = 10,356.38/x
  3. Step 3: Cross multiply
    17,431.32x = 24,058.74 × 10,356.38
  4. Step 4: Simplify right side
    17,431.32x = 249,161,333.47
  5. Step 5: Solve for x
    x = 249,161,333.47/17,431.32
  6. Step 6: Final answer
    x = 14,293.89

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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.