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Finding the Fourth Proportional to 17,903.30, 24,706.50 and 10,827.68

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Solution

The fourth proportional to 17,903.30, 24,706.50 and 10,827.68 is: 14,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,903.30 : 24,706.50 = 10,827.68 : x
  2. Step 2: Convert to fraction form
    17,903.30/24,706.50 = 10,827.68/x
  3. Step 3: Cross multiply
    17,903.30x = 24,706.50 × 10,827.68
  4. Step 4: Simplify right side
    17,903.30x = 267,514,075.92
  5. Step 5: Solve for x
    x = 267,514,075.92/17,903.30
  6. Step 6: Final answer
    x = 14,942.17

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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.