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Finding the Fourth Proportional to 24,408.53, 33,683.58 and 13,798.16

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Solution

The fourth proportional to 24,408.53, 33,683.58 and 13,798.16 is: 19,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.53 : 33,683.58 = 13,798.16 : x
  2. Step 2: Convert to fraction form
    24,408.53/33,683.58 = 13,798.16/x
  3. Step 3: Cross multiply
    24,408.53x = 33,683.58 × 13,798.16
  4. Step 4: Simplify right side
    24,408.53x = 464,771,257.79
  5. Step 5: Solve for x
    x = 464,771,257.79/24,408.53
  6. Step 6: Final answer
    x = 19,041.35

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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.