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Finding the Fourth Proportional to 12,969.23, 17,898.20 and 7,931.87

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Solution

The fourth proportional to 12,969.23, 17,898.20 and 7,931.87 is: 10,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.23 : 17,898.20 = 7,931.87 : x
  2. Step 2: Convert to fraction form
    12,969.23/17,898.20 = 7,931.87/x
  3. Step 3: Cross multiply
    12,969.23x = 17,898.20 × 7,931.87
  4. Step 4: Simplify right side
    12,969.23x = 141,966,113.01
  5. Step 5: Solve for x
    x = 141,966,113.01/12,969.23
  6. Step 6: Final answer
    x = 10,946.38

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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.