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Finding the Fourth Proportional to 16,193.40, 24,290.10 and 7,445.40

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Solution

The fourth proportional to 16,193.40, 24,290.10 and 7,445.40 is: 11,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.40 : 24,290.10 = 7,445.40 : x
  2. Step 2: Convert to fraction form
    16,193.40/24,290.10 = 7,445.40/x
  3. Step 3: Cross multiply
    16,193.40x = 24,290.10 × 7,445.40
  4. Step 4: Simplify right side
    16,193.40x = 180,849,510.54
  5. Step 5: Solve for x
    x = 180,849,510.54/16,193.40
  6. Step 6: Final answer
    x = 11,168.10

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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.