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Finding the Fourth Proportional to 24,402, 36,603.02 and 6,871.83

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Solution

The fourth proportional to 24,402, 36,603.02 and 6,871.83 is: 10,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402 : 36,603.02 = 6,871.83 : x
  2. Step 2: Convert to fraction form
    24,402/36,603.02 = 6,871.83/x
  3. Step 3: Cross multiply
    24,402x = 36,603.02 × 6,871.83
  4. Step 4: Simplify right side
    24,402x = 251,529,730.93
  5. Step 5: Solve for x
    x = 251,529,730.93/24,402
  6. Step 6: Final answer
    x = 10,307.75

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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.