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Finding the Fourth Proportional to 14,575.65, 21,865.95 and 4,578.49

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Solution

The fourth proportional to 14,575.65, 21,865.95 and 4,578.49 is: 6,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.65 : 21,865.95 = 4,578.49 : x
  2. Step 2: Convert to fraction form
    14,575.65/21,865.95 = 4,578.49/x
  3. Step 3: Cross multiply
    14,575.65x = 21,865.95 × 4,578.49
  4. Step 4: Simplify right side
    14,575.65x = 100,113,060.75
  5. Step 5: Solve for x
    x = 100,113,060.75/14,575.65
  6. Step 6: Final answer
    x = 6,868.52

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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.