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Finding the Fourth Proportional to 13,042.07, 17,989.93 and 7,733.13

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Solution

The fourth proportional to 13,042.07, 17,989.93 and 7,733.13 is: 10,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.07 : 17,989.93 = 7,733.13 : x
  2. Step 2: Convert to fraction form
    13,042.07/17,989.93 = 7,733.13/x
  3. Step 3: Cross multiply
    13,042.07x = 17,989.93 × 7,733.13
  4. Step 4: Simplify right side
    13,042.07x = 139,118,467.38
  5. Step 5: Solve for x
    x = 139,118,467.38/13,042.07
  6. Step 6: Final answer
    x = 10,666.90

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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.