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Finding the Fourth Proportional to 12,077.10, 16,355.93 and 12,077.10

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Solution

The fourth proportional to 12,077.10, 16,355.93 and 12,077.10 is: 16,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.10 : 16,355.93 = 12,077.10 : x
  2. Step 2: Convert to fraction form
    12,077.10/16,355.93 = 12,077.10/x
  3. Step 3: Cross multiply
    12,077.10x = 16,355.93 × 12,077.10
  4. Step 4: Simplify right side
    12,077.10x = 197,532,141.82
  5. Step 5: Solve for x
    x = 197,532,141.82/12,077.10
  6. Step 6: Final answer
    x = 16,355.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.