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Finding the Fourth Proportional to 14,733, 22,182.78 and 12,989.16

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Solution

The fourth proportional to 14,733, 22,182.78 and 12,989.16 is: 19,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733 : 22,182.78 = 12,989.16 : x
  2. Step 2: Convert to fraction form
    14,733/22,182.78 = 12,989.16/x
  3. Step 3: Cross multiply
    14,733x = 22,182.78 × 12,989.16
  4. Step 4: Simplify right side
    14,733x = 288,135,678.66
  5. Step 5: Solve for x
    x = 288,135,678.66/14,733
  6. Step 6: Final answer
    x = 19,557.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.