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Finding the Fourth Proportional to 12,157.02, 16,776.77 and 6,851.93

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Solution

The fourth proportional to 12,157.02, 16,776.77 and 6,851.93 is: 9,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.02 : 16,776.77 = 6,851.93 : x
  2. Step 2: Convert to fraction form
    12,157.02/16,776.77 = 6,851.93/x
  3. Step 3: Cross multiply
    12,157.02x = 16,776.77 × 6,851.93
  4. Step 4: Simplify right side
    12,157.02x = 114,953,135.52
  5. Step 5: Solve for x
    x = 114,953,135.52/12,157.02
  6. Step 6: Final answer
    x = 9,455.70

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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.