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Finding the Fourth Proportional to 16,408.84, 24,617.14 and 5,315.51

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Solution

The fourth proportional to 16,408.84, 24,617.14 and 5,315.51 is: 7,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.84 : 24,617.14 = 5,315.51 : x
  2. Step 2: Convert to fraction form
    16,408.84/24,617.14 = 5,315.51/x
  3. Step 3: Cross multiply
    16,408.84x = 24,617.14 × 5,315.51
  4. Step 4: Simplify right side
    16,408.84x = 130,852,653.84
  5. Step 5: Solve for x
    x = 130,852,653.84/16,408.84
  6. Step 6: Final answer
    x = 7,974.52

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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.