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Finding the Fourth Proportional to 17,430.92, 24,048.12 and 10,711.16

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Solution

The fourth proportional to 17,430.92, 24,048.12 and 10,711.16 is: 14,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.92 : 24,048.12 = 10,711.16 : x
  2. Step 2: Convert to fraction form
    17,430.92/24,048.12 = 10,711.16/x
  3. Step 3: Cross multiply
    17,430.92x = 24,048.12 × 10,711.16
  4. Step 4: Simplify right side
    17,430.92x = 257,583,261.02
  5. Step 5: Solve for x
    x = 257,583,261.02/17,430.92
  6. Step 6: Final answer
    x = 14,777.38

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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.