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Finding the Fourth Proportional to 16,407.70, 24,614.79 and 6,019.54

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Solution

The fourth proportional to 16,407.70, 24,614.79 and 6,019.54 is: 9,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.70 : 24,614.79 = 6,019.54 : x
  2. Step 2: Convert to fraction form
    16,407.70/24,614.79 = 6,019.54/x
  3. Step 3: Cross multiply
    16,407.70x = 24,614.79 × 6,019.54
  4. Step 4: Simplify right side
    16,407.70x = 148,169,713.00
  5. Step 5: Solve for x
    x = 148,169,713.00/16,407.70
  6. Step 6: Final answer
    x = 9,030.50

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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.