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Finding the Fourth Proportional to 14,101.53, 19,454.92 and 8,436.42

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Solution

The fourth proportional to 14,101.53, 19,454.92 and 8,436.42 is: 11,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.53 : 19,454.92 = 8,436.42 : x
  2. Step 2: Convert to fraction form
    14,101.53/19,454.92 = 8,436.42/x
  3. Step 3: Cross multiply
    14,101.53x = 19,454.92 × 8,436.42
  4. Step 4: Simplify right side
    14,101.53x = 164,129,855.10
  5. Step 5: Solve for x
    x = 164,129,855.10/14,101.53
  6. Step 6: Final answer
    x = 11,639.16

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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.