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Finding the Fourth Proportional to 13,068.84, 18,034.92 and 7,100.31

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Solution

The fourth proportional to 13,068.84, 18,034.92 and 7,100.31 is: 9,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068.84 : 18,034.92 = 7,100.31 : x
  2. Step 2: Convert to fraction form
    13,068.84/18,034.92 = 7,100.31/x
  3. Step 3: Cross multiply
    13,068.84x = 18,034.92 × 7,100.31
  4. Step 4: Simplify right side
    13,068.84x = 128,053,522.83
  5. Step 5: Solve for x
    x = 128,053,522.83/13,068.84
  6. Step 6: Final answer
    x = 9,798.38

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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.