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Finding the Fourth Proportional to 14,002.62, 19,322.46 and 8,696.40

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Solution

The fourth proportional to 14,002.62, 19,322.46 and 8,696.40 is: 12,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.62 : 19,322.46 = 8,696.40 : x
  2. Step 2: Convert to fraction form
    14,002.62/19,322.46 = 8,696.40/x
  3. Step 3: Cross multiply
    14,002.62x = 19,322.46 × 8,696.40
  4. Step 4: Simplify right side
    14,002.62x = 168,035,841.14
  5. Step 5: Solve for x
    x = 168,035,841.14/14,002.62
  6. Step 6: Final answer
    x = 12,000.31

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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.