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Finding the Fourth Proportional to 23,564.88, 35,347.32 and 11,075.74

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Solution

The fourth proportional to 23,564.88, 35,347.32 and 11,075.74 is: 16,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.88 : 35,347.32 = 11,075.74 : x
  2. Step 2: Convert to fraction form
    23,564.88/35,347.32 = 11,075.74/x
  3. Step 3: Cross multiply
    23,564.88x = 35,347.32 × 11,075.74
  4. Step 4: Simplify right side
    23,564.88x = 391,497,726.02
  5. Step 5: Solve for x
    x = 391,497,726.02/23,564.88
  6. Step 6: Final answer
    x = 16,613.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.