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Finding the Fourth Proportional to 14,811.57, 22,202.64 and 6,052.77

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Solution

The fourth proportional to 14,811.57, 22,202.64 and 6,052.77 is: 9,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.57 : 22,202.64 = 6,052.77 : x
  2. Step 2: Convert to fraction form
    14,811.57/22,202.64 = 6,052.77/x
  3. Step 3: Cross multiply
    14,811.57x = 22,202.64 × 6,052.77
  4. Step 4: Simplify right side
    14,811.57x = 134,387,473.31
  5. Step 5: Solve for x
    x = 134,387,473.31/14,811.57
  6. Step 6: Final answer
    x = 9,073.14

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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.