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Finding the Fourth Proportional to 25,771, 35,563.98 and 14,595.16

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Solution

The fourth proportional to 25,771, 35,563.98 and 14,595.16 is: 20,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771 : 35,563.98 = 14,595.16 : x
  2. Step 2: Convert to fraction form
    25,771/35,563.98 = 14,595.16/x
  3. Step 3: Cross multiply
    25,771x = 35,563.98 × 14,595.16
  4. Step 4: Simplify right side
    25,771x = 519,061,978.34
  5. Step 5: Solve for x
    x = 519,061,978.34/25,771
  6. Step 6: Final answer
    x = 20,141.32

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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.