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Finding the Fourth Proportional to 13,698.60, 20,547.48 and 4,939.20

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Solution

The fourth proportional to 13,698.60, 20,547.48 and 4,939.20 is: 7,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.60 : 20,547.48 = 4,939.20 : x
  2. Step 2: Convert to fraction form
    13,698.60/20,547.48 = 4,939.20/x
  3. Step 3: Cross multiply
    13,698.60x = 20,547.48 × 4,939.20
  4. Step 4: Simplify right side
    13,698.60x = 101,488,113.22
  5. Step 5: Solve for x
    x = 101,488,113.22/13,698.60
  6. Step 6: Final answer
    x = 7,408.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.