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Finding the Fourth Proportional to 14,704, 22,041.40 and 8,133.28

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Solution

The fourth proportional to 14,704, 22,041.40 and 8,133.28 is: 12,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704 : 22,041.40 = 8,133.28 : x
  2. Step 2: Convert to fraction form
    14,704/22,041.40 = 8,133.28/x
  3. Step 3: Cross multiply
    14,704x = 22,041.40 × 8,133.28
  4. Step 4: Simplify right side
    14,704x = 179,268,877.79
  5. Step 5: Solve for x
    x = 179,268,877.79/14,704
  6. Step 6: Final answer
    x = 12,191.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.