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Finding the Fourth Proportional to 17,065.10, 23,549.73 and 9,511.76

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Solution

The fourth proportional to 17,065.10, 23,549.73 and 9,511.76 is: 13,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.10 : 23,549.73 = 9,511.76 : x
  2. Step 2: Convert to fraction form
    17,065.10/23,549.73 = 9,511.76/x
  3. Step 3: Cross multiply
    17,065.10x = 23,549.73 × 9,511.76
  4. Step 4: Simplify right side
    17,065.10x = 223,999,262.08
  5. Step 5: Solve for x
    x = 223,999,262.08/17,065.10
  6. Step 6: Final answer
    x = 13,126.17

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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.