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Finding the Fourth Proportional to 16,354.26, 24,535.36 and 5,262

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Solution

The fourth proportional to 16,354.26, 24,535.36 and 5,262 is: 7,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.26 : 24,535.36 = 5,262 : x
  2. Step 2: Convert to fraction form
    16,354.26/24,535.36 = 5,262/x
  3. Step 3: Cross multiply
    16,354.26x = 24,535.36 × 5,262
  4. Step 4: Simplify right side
    16,354.26x = 129,105,064.32
  5. Step 5: Solve for x
    x = 129,105,064.32/16,354.26
  6. Step 6: Final answer
    x = 7,894.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.