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Finding the Fourth Proportional to 24,658.02, 36,987.30 and 7,128

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Solution

The fourth proportional to 24,658.02, 36,987.30 and 7,128 is: 10,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.02 : 36,987.30 = 7,128 : x
  2. Step 2: Convert to fraction form
    24,658.02/36,987.30 = 7,128/x
  3. Step 3: Cross multiply
    24,658.02x = 36,987.30 × 7,128
  4. Step 4: Simplify right side
    24,658.02x = 263,645,474.40
  5. Step 5: Solve for x
    x = 263,645,474.40/24,658.02
  6. Step 6: Final answer
    x = 10,692.08

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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.