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Finding the Fourth Proportional to 14,526.78, 20,048.04 and 8,154.12

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Solution

The fourth proportional to 14,526.78, 20,048.04 and 8,154.12 is: 11,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.78 : 20,048.04 = 8,154.12 : x
  2. Step 2: Convert to fraction form
    14,526.78/20,048.04 = 8,154.12/x
  3. Step 3: Cross multiply
    14,526.78x = 20,048.04 × 8,154.12
  4. Step 4: Simplify right side
    14,526.78x = 163,474,123.92
  5. Step 5: Solve for x
    x = 163,474,123.92/14,526.78
  6. Step 6: Final answer
    x = 11,253.29

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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.