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Finding the Fourth Proportional to 13,001.08, 17,941.65 and 7,895.14

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Solution

The fourth proportional to 13,001.08, 17,941.65 and 7,895.14 is: 10,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.08 : 17,941.65 = 7,895.14 : x
  2. Step 2: Convert to fraction form
    13,001.08/17,941.65 = 7,895.14/x
  3. Step 3: Cross multiply
    13,001.08x = 17,941.65 × 7,895.14
  4. Step 4: Simplify right side
    13,001.08x = 141,651,838.58
  5. Step 5: Solve for x
    x = 141,651,838.58/13,001.08
  6. Step 6: Final answer
    x = 10,895.39

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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.