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Finding the Fourth Proportional to 16,314.02, 22,558.65 and 12,951

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Solution

The fourth proportional to 16,314.02, 22,558.65 and 12,951 is: 17,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.02 : 22,558.65 = 12,951 : x
  2. Step 2: Convert to fraction form
    16,314.02/22,558.65 = 12,951/x
  3. Step 3: Cross multiply
    16,314.02x = 22,558.65 × 12,951
  4. Step 4: Simplify right side
    16,314.02x = 292,157,076.15
  5. Step 5: Solve for x
    x = 292,157,076.15/16,314.02
  6. Step 6: Final answer
    x = 17,908.35

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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.