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Finding the Fourth Proportional to 23,402.16, 35,066.34 and 8,590.70

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Solution

The fourth proportional to 23,402.16, 35,066.34 and 8,590.70 is: 12,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.16 : 35,066.34 = 8,590.70 : x
  2. Step 2: Convert to fraction form
    23,402.16/35,066.34 = 8,590.70/x
  3. Step 3: Cross multiply
    23,402.16x = 35,066.34 × 8,590.70
  4. Step 4: Simplify right side
    23,402.16x = 301,244,407.04
  5. Step 5: Solve for x
    x = 301,244,407.04/23,402.16
  6. Step 6: Final answer
    x = 12,872.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.