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Finding the Fourth Proportional to 25,590.86, 35,323 and 16,165.70

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Solution

The fourth proportional to 25,590.86, 35,323 and 16,165.70 is: 22,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,590.86 : 35,323 = 16,165.70 : x
  2. Step 2: Convert to fraction form
    25,590.86/35,323 = 16,165.70/x
  3. Step 3: Cross multiply
    25,590.86x = 35,323 × 16,165.70
  4. Step 4: Simplify right side
    25,590.86x = 571,021,021.10
  5. Step 5: Solve for x
    x = 571,021,021.10/25,590.86
  6. Step 6: Final answer
    x = 22,313.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.