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Finding the Fourth Proportional to 14,547.76, 21,819.48 and 4,685.76

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Solution

The fourth proportional to 14,547.76, 21,819.48 and 4,685.76 is: 7,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.76 : 21,819.48 = 4,685.76 : x
  2. Step 2: Convert to fraction form
    14,547.76/21,819.48 = 4,685.76/x
  3. Step 3: Cross multiply
    14,547.76x = 21,819.48 × 4,685.76
  4. Step 4: Simplify right side
    14,547.76x = 102,240,846.60
  5. Step 5: Solve for x
    x = 102,240,846.60/14,547.76
  6. Step 6: Final answer
    x = 7,027.94

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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.