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Finding the Fourth Proportional to 12,989.57, 17,925.30 and 7,684.47

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Solution

The fourth proportional to 12,989.57, 17,925.30 and 7,684.47 is: 10,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.57 : 17,925.30 = 7,684.47 : x
  2. Step 2: Convert to fraction form
    12,989.57/17,925.30 = 7,684.47/x
  3. Step 3: Cross multiply
    12,989.57x = 17,925.30 × 7,684.47
  4. Step 4: Simplify right side
    12,989.57x = 137,746,430.09
  5. Step 5: Solve for x
    x = 137,746,430.09/12,989.57
  6. Step 6: Final answer
    x = 10,604.39

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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.