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Finding the Fourth Proportional to 17,938.60, 24,751.50 and 10,384.48

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Solution

The fourth proportional to 17,938.60, 24,751.50 and 10,384.48 is: 14,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,938.60 : 24,751.50 = 10,384.48 : x
  2. Step 2: Convert to fraction form
    17,938.60/24,751.50 = 10,384.48/x
  3. Step 3: Cross multiply
    17,938.60x = 24,751.50 × 10,384.48
  4. Step 4: Simplify right side
    17,938.60x = 257,031,456.72
  5. Step 5: Solve for x
    x = 257,031,456.72/17,938.60
  6. Step 6: Final answer
    x = 14,328.40

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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.