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Finding the Fourth Proportional to 14,625.84, 21,942 and 8,048.64

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Solution

The fourth proportional to 14,625.84, 21,942 and 8,048.64 is: 12,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.84 : 21,942 = 8,048.64 : x
  2. Step 2: Convert to fraction form
    14,625.84/21,942 = 8,048.64/x
  3. Step 3: Cross multiply
    14,625.84x = 21,942 × 8,048.64
  4. Step 4: Simplify right side
    14,625.84x = 176,603,258.88
  5. Step 5: Solve for x
    x = 176,603,258.88/14,625.84
  6. Step 6: Final answer
    x = 12,074.74

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Why These Related Problems?

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