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Finding the Fourth Proportional to 26,483.44, 36,547.02 and 14,547

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Solution

The fourth proportional to 26,483.44, 36,547.02 and 14,547 is: 20,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,483.44 : 36,547.02 = 14,547 : x
  2. Step 2: Convert to fraction form
    26,483.44/36,547.02 = 14,547/x
  3. Step 3: Cross multiply
    26,483.44x = 36,547.02 × 14,547
  4. Step 4: Simplify right side
    26,483.44x = 531,649,499.94
  5. Step 5: Solve for x
    x = 531,649,499.94/26,483.44
  6. Step 6: Final answer
    x = 20,074.79

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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.