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Finding the Fourth Proportional to 16,009.71, 24,017.58 and 6,148.23

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Solution

The fourth proportional to 16,009.71, 24,017.58 and 6,148.23 is: 9,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.71 : 24,017.58 = 6,148.23 : x
  2. Step 2: Convert to fraction form
    16,009.71/24,017.58 = 6,148.23/x
  3. Step 3: Cross multiply
    16,009.71x = 24,017.58 × 6,148.23
  4. Step 4: Simplify right side
    16,009.71x = 147,665,605.88
  5. Step 5: Solve for x
    x = 147,665,605.88/16,009.71
  6. Step 6: Final answer
    x = 9,223.50

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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.