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Finding the Fourth Proportional to 12,100.80, 16,703.19 and 7,632

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Solution

The fourth proportional to 12,100.80, 16,703.19 and 7,632 is: 10,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.80 : 16,703.19 = 7,632 : x
  2. Step 2: Convert to fraction form
    12,100.80/16,703.19 = 7,632/x
  3. Step 3: Cross multiply
    12,100.80x = 16,703.19 × 7,632
  4. Step 4: Simplify right side
    12,100.80x = 127,478,746.08
  5. Step 5: Solve for x
    x = 127,478,746.08/12,100.80
  6. Step 6: Final answer
    x = 10,534.74

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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.