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Finding the Fourth Proportional to 14,396.90, 19,868.05 and 8,024.15

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Solution

The fourth proportional to 14,396.90, 19,868.05 and 8,024.15 is: 11,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.90 : 19,868.05 = 8,024.15 : x
  2. Step 2: Convert to fraction form
    14,396.90/19,868.05 = 8,024.15/x
  3. Step 3: Cross multiply
    14,396.90x = 19,868.05 × 8,024.15
  4. Step 4: Simplify right side
    14,396.90x = 159,424,094.01
  5. Step 5: Solve for x
    x = 159,424,094.01/14,396.90
  6. Step 6: Final answer
    x = 11,073.50

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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.