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Finding the Fourth Proportional to 20,759.18, 28,646.70 and 12,802.16

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Solution

The fourth proportional to 20,759.18, 28,646.70 and 12,802.16 is: 17,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,759.18 : 28,646.70 = 12,802.16 : x
  2. Step 2: Convert to fraction form
    20,759.18/28,646.70 = 12,802.16/x
  3. Step 3: Cross multiply
    20,759.18x = 28,646.70 × 12,802.16
  4. Step 4: Simplify right side
    20,759.18x = 366,739,636.87
  5. Step 5: Solve for x
    x = 366,739,636.87/20,759.18
  6. Step 6: Final answer
    x = 17,666.38

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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.