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Finding the Fourth Proportional to 12,498.51, 17,244.93 and 7,464.63

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Solution

The fourth proportional to 12,498.51, 17,244.93 and 7,464.63 is: 10,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.51 : 17,244.93 = 7,464.63 : x
  2. Step 2: Convert to fraction form
    12,498.51/17,244.93 = 7,464.63/x
  3. Step 3: Cross multiply
    12,498.51x = 17,244.93 × 7,464.63
  4. Step 4: Simplify right side
    12,498.51x = 128,727,021.83
  5. Step 5: Solve for x
    x = 128,727,021.83/12,498.51
  6. Step 6: Final answer
    x = 10,299.39

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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.