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Finding the Fourth Proportional to 24,162.94, 33,345.12 and 13,408

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Solution

The fourth proportional to 24,162.94, 33,345.12 and 13,408 is: 18,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162.94 : 33,345.12 = 13,408 : x
  2. Step 2: Convert to fraction form
    24,162.94/33,345.12 = 13,408/x
  3. Step 3: Cross multiply
    24,162.94x = 33,345.12 × 13,408
  4. Step 4: Simplify right side
    24,162.94x = 447,091,368.96
  5. Step 5: Solve for x
    x = 447,091,368.96/24,162.94
  6. Step 6: Final answer
    x = 18,503.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.