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Finding the Fourth Proportional to 16,407.61, 24,606.02 and 9,020.41

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Solution

The fourth proportional to 16,407.61, 24,606.02 and 9,020.41 is: 13,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.61 : 24,606.02 = 9,020.41 : x
  2. Step 2: Convert to fraction form
    16,407.61/24,606.02 = 9,020.41/x
  3. Step 3: Cross multiply
    16,407.61x = 24,606.02 × 9,020.41
  4. Step 4: Simplify right side
    16,407.61x = 221,956,343.77
  5. Step 5: Solve for x
    x = 221,956,343.77/16,407.61
  6. Step 6: Final answer
    x = 13,527.65

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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.