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Finding the Fourth Proportional to 25,570.24, 35,288.16 and 14,392

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Solution

The fourth proportional to 25,570.24, 35,288.16 and 14,392 is: 19,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.24 : 35,288.16 = 14,392 : x
  2. Step 2: Convert to fraction form
    25,570.24/35,288.16 = 14,392/x
  3. Step 3: Cross multiply
    25,570.24x = 35,288.16 × 14,392
  4. Step 4: Simplify right side
    25,570.24x = 507,867,198.72
  5. Step 5: Solve for x
    x = 507,867,198.72/25,570.24
  6. Step 6: Final answer
    x = 19,861.65

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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.