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Finding the Fourth Proportional to 14,541, 20,061.54 and 8,166.72

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Solution

The fourth proportional to 14,541, 20,061.54 and 8,166.72 is: 11,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541 : 20,061.54 = 8,166.72 : x
  2. Step 2: Convert to fraction form
    14,541/20,061.54 = 8,166.72/x
  3. Step 3: Cross multiply
    14,541x = 20,061.54 × 8,166.72
  4. Step 4: Simplify right side
    14,541x = 163,836,979.95
  5. Step 5: Solve for x
    x = 163,836,979.95/14,541
  6. Step 6: Final answer
    x = 11,267.24

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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.