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Finding the Fourth Proportional to 14,124.65, 19,491.93 and 8,156.84

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Solution

The fourth proportional to 14,124.65, 19,491.93 and 8,156.84 is: 11,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.65 : 19,491.93 = 8,156.84 : x
  2. Step 2: Convert to fraction form
    14,124.65/19,491.93 = 8,156.84/x
  3. Step 3: Cross multiply
    14,124.65x = 19,491.93 × 8,156.84
  4. Step 4: Simplify right side
    14,124.65x = 158,992,456.84
  5. Step 5: Solve for x
    x = 158,992,456.84/14,124.65
  6. Step 6: Final answer
    x = 11,256.39

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1.5x scale

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.