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Finding the Fourth Proportional to 14,872.71, 20,525.40 and 9,828.17

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Solution

The fourth proportional to 14,872.71, 20,525.40 and 9,828.17 is: 13,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.71 : 20,525.40 = 9,828.17 : x
  2. Step 2: Convert to fraction form
    14,872.71/20,525.40 = 9,828.17/x
  3. Step 3: Cross multiply
    14,872.71x = 20,525.40 × 9,828.17
  4. Step 4: Simplify right side
    14,872.71x = 201,727,094.86
  5. Step 5: Solve for x
    x = 201,727,094.86/14,872.71
  6. Step 6: Final answer
    x = 13,563.57

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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.