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Finding the Fourth Proportional to 14,397.45, 19,868.13 and 8,024.01

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Solution

The fourth proportional to 14,397.45, 19,868.13 and 8,024.01 is: 11,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.45 : 19,868.13 = 8,024.01 : x
  2. Step 2: Convert to fraction form
    14,397.45/19,868.13 = 8,024.01/x
  3. Step 3: Cross multiply
    14,397.45x = 19,868.13 × 8,024.01
  4. Step 4: Simplify right side
    14,397.45x = 159,422,073.80
  5. Step 5: Solve for x
    x = 159,422,073.80/14,397.45
  6. Step 6: Final answer
    x = 11,072.94

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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.