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Finding the Fourth Proportional to 19,384.80, 29,004.30 and 12,823.80

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Solution

The fourth proportional to 19,384.80, 29,004.30 and 12,823.80 is: 19,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.80 : 29,004.30 = 12,823.80 : x
  2. Step 2: Convert to fraction form
    19,384.80/29,004.30 = 12,823.80/x
  3. Step 3: Cross multiply
    19,384.80x = 29,004.30 × 12,823.80
  4. Step 4: Simplify right side
    19,384.80x = 371,945,342.34
  5. Step 5: Solve for x
    x = 371,945,342.34/19,384.80
  6. Step 6: Final answer
    x = 19,187.47

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1.5x scale

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.