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Finding the Fourth Proportional to 21,045.77, 31,544.81 and 7,002.50

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Solution

The fourth proportional to 21,045.77, 31,544.81 and 7,002.50 is: 10,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,045.77 : 31,544.81 = 7,002.50 : x
  2. Step 2: Convert to fraction form
    21,045.77/31,544.81 = 7,002.50/x
  3. Step 3: Cross multiply
    21,045.77x = 31,544.81 × 7,002.50
  4. Step 4: Simplify right side
    21,045.77x = 220,892,339.29
  5. Step 5: Solve for x
    x = 220,892,339.29/21,045.77
  6. Step 6: Final answer
    x = 10,495.81

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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.