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Finding the Fourth Proportional to 14,416.76, 21,634.75 and 5,056.77

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Solution

The fourth proportional to 14,416.76, 21,634.75 and 5,056.77 is: 7,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.76 : 21,634.75 = 5,056.77 : x
  2. Step 2: Convert to fraction form
    14,416.76/21,634.75 = 5,056.77/x
  3. Step 3: Cross multiply
    14,416.76x = 21,634.75 × 5,056.77
  4. Step 4: Simplify right side
    14,416.76x = 109,401,954.76
  5. Step 5: Solve for x
    x = 109,401,954.76/14,416.76
  6. Step 6: Final answer
    x = 7,588.53

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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.