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Finding the Fourth Proportional to 14,980.34, 20,674.14 and 8,266.16

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Solution

The fourth proportional to 14,980.34, 20,674.14 and 8,266.16 is: 11,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.34 : 20,674.14 = 8,266.16 : x
  2. Step 2: Convert to fraction form
    14,980.34/20,674.14 = 8,266.16/x
  3. Step 3: Cross multiply
    14,980.34x = 20,674.14 × 8,266.16
  4. Step 4: Simplify right side
    14,980.34x = 170,895,749.10
  5. Step 5: Solve for x
    x = 170,895,749.10/14,980.34
  6. Step 6: Final answer
    x = 11,408.00

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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.