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Finding the Fourth Proportional to 14,182.70, 19,576.84 and 9,719.39

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Solution

The fourth proportional to 14,182.70, 19,576.84 and 9,719.39 is: 13,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.70 : 19,576.84 = 9,719.39 : x
  2. Step 2: Convert to fraction form
    14,182.70/19,576.84 = 9,719.39/x
  3. Step 3: Cross multiply
    14,182.70x = 19,576.84 × 9,719.39
  4. Step 4: Simplify right side
    14,182.70x = 190,274,985.80
  5. Step 5: Solve for x
    x = 190,274,985.80/14,182.70
  6. Step 6: Final answer
    x = 13,416.00

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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.