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Finding the Fourth Proportional to 12,531.50, 17,293.47 and 7,495.93

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Solution

The fourth proportional to 12,531.50, 17,293.47 and 7,495.93 is: 10,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.50 : 17,293.47 = 7,495.93 : x
  2. Step 2: Convert to fraction form
    12,531.50/17,293.47 = 7,495.93/x
  3. Step 3: Cross multiply
    12,531.50x = 17,293.47 × 7,495.93
  4. Step 4: Simplify right side
    12,531.50x = 129,630,640.58
  5. Step 5: Solve for x
    x = 129,630,640.58/12,531.50
  6. Step 6: Final answer
    x = 10,344.38

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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.