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Finding the Fourth Proportional to 17,200.91, 23,741.48 and 10,490.24

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Solution

The fourth proportional to 17,200.91, 23,741.48 and 10,490.24 is: 14,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.91 : 23,741.48 = 10,490.24 : x
  2. Step 2: Convert to fraction form
    17,200.91/23,741.48 = 10,490.24/x
  3. Step 3: Cross multiply
    17,200.91x = 23,741.48 × 10,490.24
  4. Step 4: Simplify right side
    17,200.91x = 249,053,823.16
  5. Step 5: Solve for x
    x = 249,053,823.16/17,200.91
  6. Step 6: Final answer
    x = 14,479.11

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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.