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Finding the Fourth Proportional to 12,513.42, 17,260.38 and 8,030.07

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Solution

The fourth proportional to 12,513.42, 17,260.38 and 8,030.07 is: 11,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.42 : 17,260.38 = 8,030.07 : x
  2. Step 2: Convert to fraction form
    12,513.42/17,260.38 = 8,030.07/x
  3. Step 3: Cross multiply
    12,513.42x = 17,260.38 × 8,030.07
  4. Step 4: Simplify right side
    12,513.42x = 138,602,059.63
  5. Step 5: Solve for x
    x = 138,602,059.63/12,513.42
  6. Step 6: Final answer
    x = 11,076.27

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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.