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Finding the Fourth Proportional to 20,698.34, 28,564.38 and 11,746.22

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Solution

The fourth proportional to 20,698.34, 28,564.38 and 11,746.22 is: 16,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.34 : 28,564.38 = 11,746.22 : x
  2. Step 2: Convert to fraction form
    20,698.34/28,564.38 = 11,746.22/x
  3. Step 3: Cross multiply
    20,698.34x = 28,564.38 × 11,746.22
  4. Step 4: Simplify right side
    20,698.34x = 335,523,491.64
  5. Step 5: Solve for x
    x = 335,523,491.64/20,698.34
  6. Step 6: Final answer
    x = 16,210.16

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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.