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Finding the Fourth Proportional to 24,895.30, 34,354.92 and 14,284.30

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Solution

The fourth proportional to 24,895.30, 34,354.92 and 14,284.30 is: 19,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,895.30 : 34,354.92 = 14,284.30 : x
  2. Step 2: Convert to fraction form
    24,895.30/34,354.92 = 14,284.30/x
  3. Step 3: Cross multiply
    24,895.30x = 34,354.92 × 14,284.30
  4. Step 4: Simplify right side
    24,895.30x = 490,735,983.76
  5. Step 5: Solve for x
    x = 490,735,983.76/24,895.30
  6. Step 6: Final answer
    x = 19,711.99

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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.