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Finding the Fourth Proportional to 24,766.50, 34,178.25 and 14,830.50

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Solution

The fourth proportional to 24,766.50, 34,178.25 and 14,830.50 is: 20,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766.50 : 34,178.25 = 14,830.50 : x
  2. Step 2: Convert to fraction form
    24,766.50/34,178.25 = 14,830.50/x
  3. Step 3: Cross multiply
    24,766.50x = 34,178.25 × 14,830.50
  4. Step 4: Simplify right side
    24,766.50x = 506,880,536.63
  5. Step 5: Solve for x
    x = 506,880,536.63/24,766.50
  6. Step 6: Final answer
    x = 20,466.38

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1.5x scale

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.