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Finding the Fourth Proportional to 15,645, 21,590.10 and 8,571.69

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Solution

The fourth proportional to 15,645, 21,590.10 and 8,571.69 is: 11,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645 : 21,590.10 = 8,571.69 : x
  2. Step 2: Convert to fraction form
    15,645/21,590.10 = 8,571.69/x
  3. Step 3: Cross multiply
    15,645x = 21,590.10 × 8,571.69
  4. Step 4: Simplify right side
    15,645x = 185,063,644.27
  5. Step 5: Solve for x
    x = 185,063,644.27/15,645
  6. Step 6: Final answer
    x = 11,828.93

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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.