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Finding the Fourth Proportional to 17,471.19, 24,109.93 and 9,513.27

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Solution

The fourth proportional to 17,471.19, 24,109.93 and 9,513.27 is: 13,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.19 : 24,109.93 = 9,513.27 : x
  2. Step 2: Convert to fraction form
    17,471.19/24,109.93 = 9,513.27/x
  3. Step 3: Cross multiply
    17,471.19x = 24,109.93 × 9,513.27
  4. Step 4: Simplify right side
    17,471.19x = 229,364,273.77
  5. Step 5: Solve for x
    x = 229,364,273.77/17,471.19
  6. Step 6: Final answer
    x = 13,128.14

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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.