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Finding the Fourth Proportional to 15,903.92, 23,829.35 and 7,006.01

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Solution

The fourth proportional to 15,903.92, 23,829.35 and 7,006.01 is: 10,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.92 : 23,829.35 = 7,006.01 : x
  2. Step 2: Convert to fraction form
    15,903.92/23,829.35 = 7,006.01/x
  3. Step 3: Cross multiply
    15,903.92x = 23,829.35 × 7,006.01
  4. Step 4: Simplify right side
    15,903.92x = 166,948,510.22
  5. Step 5: Solve for x
    x = 166,948,510.22/15,903.92
  6. Step 6: Final answer
    x = 10,497.32

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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.