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Finding the Fourth Proportional to 25,622.16, 35,354.52 and 14,442

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Solution

The fourth proportional to 25,622.16, 35,354.52 and 14,442 is: 19,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622.16 : 35,354.52 = 14,442 : x
  2. Step 2: Convert to fraction form
    25,622.16/35,354.52 = 14,442/x
  3. Step 3: Cross multiply
    25,622.16x = 35,354.52 × 14,442
  4. Step 4: Simplify right side
    25,622.16x = 510,589,977.84
  5. Step 5: Solve for x
    x = 510,589,977.84/25,622.16
  6. Step 6: Final answer
    x = 19,927.67

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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.