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Finding the Fourth Proportional to 17,341.60, 23,911.14 and 16,407.40

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Solution

The fourth proportional to 17,341.60, 23,911.14 and 16,407.40 is: 22,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,341.60 : 23,911.14 = 16,407.40 : x
  2. Step 2: Convert to fraction form
    17,341.60/23,911.14 = 16,407.40/x
  3. Step 3: Cross multiply
    17,341.60x = 23,911.14 × 16,407.40
  4. Step 4: Simplify right side
    17,341.60x = 392,319,638.44
  5. Step 5: Solve for x
    x = 392,319,638.44/17,341.60
  6. Step 6: Final answer
    x = 22,623.04

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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.