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Finding the Fourth Proportional to 14,782.50, 20,373.12 and 12,251.25

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Solution

The fourth proportional to 14,782.50, 20,373.12 and 12,251.25 is: 16,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.50 : 20,373.12 = 12,251.25 : x
  2. Step 2: Convert to fraction form
    14,782.50/20,373.12 = 12,251.25/x
  3. Step 3: Cross multiply
    14,782.50x = 20,373.12 × 12,251.25
  4. Step 4: Simplify right side
    14,782.50x = 249,596,186.40
  5. Step 5: Solve for x
    x = 249,596,186.40/14,782.50
  6. Step 6: Final answer
    x = 16,884.57

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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.