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Finding the Fourth Proportional to 15,786.88, 23,657.72 and 11,594

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Solution

The fourth proportional to 15,786.88, 23,657.72 and 11,594 is: 17,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.88 : 23,657.72 = 11,594 : x
  2. Step 2: Convert to fraction form
    15,786.88/23,657.72 = 11,594/x
  3. Step 3: Cross multiply
    15,786.88x = 23,657.72 × 11,594
  4. Step 4: Simplify right side
    15,786.88x = 274,287,605.68
  5. Step 5: Solve for x
    x = 274,287,605.68/15,786.88
  6. Step 6: Final answer
    x = 17,374.40

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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.