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Finding the Fourth Proportional to 12,906.50, 19,346.67 and 8,746.93

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Solution

The fourth proportional to 12,906.50, 19,346.67 and 8,746.93 is: 13,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.50 : 19,346.67 = 8,746.93 : x
  2. Step 2: Convert to fraction form
    12,906.50/19,346.67 = 8,746.93/x
  3. Step 3: Cross multiply
    12,906.50x = 19,346.67 × 8,746.93
  4. Step 4: Simplify right side
    12,906.50x = 169,223,968.22
  5. Step 5: Solve for x
    x = 169,223,968.22/12,906.50
  6. Step 6: Final answer
    x = 13,111.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.