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Finding the Fourth Proportional to 24,643.02, 36,964.80 and 7,113

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Solution

The fourth proportional to 24,643.02, 36,964.80 and 7,113 is: 10,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.02 : 36,964.80 = 7,113 : x
  2. Step 2: Convert to fraction form
    24,643.02/36,964.80 = 7,113/x
  3. Step 3: Cross multiply
    24,643.02x = 36,964.80 × 7,113
  4. Step 4: Simplify right side
    24,643.02x = 262,930,622.40
  5. Step 5: Solve for x
    x = 262,930,622.40/24,643.02
  6. Step 6: Final answer
    x = 10,669.58

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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.