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Finding the Fourth Proportional to 12,008.44, 16,570.84 and 7,532

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Solution

The fourth proportional to 12,008.44, 16,570.84 and 7,532 is: 10,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.44 : 16,570.84 = 7,532 : x
  2. Step 2: Convert to fraction form
    12,008.44/16,570.84 = 7,532/x
  3. Step 3: Cross multiply
    12,008.44x = 16,570.84 × 7,532
  4. Step 4: Simplify right side
    12,008.44x = 124,811,566.88
  5. Step 5: Solve for x
    x = 124,811,566.88/12,008.44
  6. Step 6: Final answer
    x = 10,393.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.