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Finding the Fourth Proportional to 17,225.80, 25,814.06 and 9,814.96

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Solution

The fourth proportional to 17,225.80, 25,814.06 and 9,814.96 is: 14,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225.80 : 25,814.06 = 9,814.96 : x
  2. Step 2: Convert to fraction form
    17,225.80/25,814.06 = 9,814.96/x
  3. Step 3: Cross multiply
    17,225.80x = 25,814.06 × 9,814.96
  4. Step 4: Simplify right side
    17,225.80x = 253,363,966.34
  5. Step 5: Solve for x
    x = 253,363,966.34/17,225.80
  6. Step 6: Final answer
    x = 14,708.40

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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.