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Finding the Fourth Proportional to 17,055.92, 23,537.08 and 9,502.34

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Solution

The fourth proportional to 17,055.92, 23,537.08 and 9,502.34 is: 13,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055.92 : 23,537.08 = 9,502.34 : x
  2. Step 2: Convert to fraction form
    17,055.92/23,537.08 = 9,502.34/x
  3. Step 3: Cross multiply
    17,055.92x = 23,537.08 × 9,502.34
  4. Step 4: Simplify right side
    17,055.92x = 223,657,336.77
  5. Step 5: Solve for x
    x = 223,657,336.77/17,055.92
  6. Step 6: Final answer
    x = 13,113.18

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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.