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Finding the Fourth Proportional to 25,751.90, 35,535 and 14,420.66

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Solution

The fourth proportional to 25,751.90, 35,535 and 14,420.66 is: 19,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.90 : 35,535 = 14,420.66 : x
  2. Step 2: Convert to fraction form
    25,751.90/35,535 = 14,420.66/x
  3. Step 3: Cross multiply
    25,751.90x = 35,535 × 14,420.66
  4. Step 4: Simplify right side
    25,751.90x = 512,438,153.10
  5. Step 5: Solve for x
    x = 512,438,153.10/25,751.90
  6. Step 6: Final answer
    x = 19,899.04

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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.