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Finding the Fourth Proportional to 14,666.16, 20,212.17 and 10,417.41

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Solution

The fourth proportional to 14,666.16, 20,212.17 and 10,417.41 is: 14,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.16 : 20,212.17 = 10,417.41 : x
  2. Step 2: Convert to fraction form
    14,666.16/20,212.17 = 10,417.41/x
  3. Step 3: Cross multiply
    14,666.16x = 20,212.17 × 10,417.41
  4. Step 4: Simplify right side
    14,666.16x = 210,558,461.88
  5. Step 5: Solve for x
    x = 210,558,461.88/14,666.16
  6. Step 6: Final answer
    x = 14,356.75

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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.