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Finding the Fourth Proportional to 12,008.42, 16,573.66 and 7,535.90

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Solution

The fourth proportional to 12,008.42, 16,573.66 and 7,535.90 is: 10,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.42 : 16,573.66 = 7,535.90 : x
  2. Step 2: Convert to fraction form
    12,008.42/16,573.66 = 7,535.90/x
  3. Step 3: Cross multiply
    12,008.42x = 16,573.66 × 7,535.90
  4. Step 4: Simplify right side
    12,008.42x = 124,897,444.39
  5. Step 5: Solve for x
    x = 124,897,444.39/12,008.42
  6. Step 6: Final answer
    x = 10,400.82

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