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Finding the Fourth Proportional to 12,775.66, 19,146.87 and 6,530.41

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Solution

The fourth proportional to 12,775.66, 19,146.87 and 6,530.41 is: 9,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.66 : 19,146.87 = 6,530.41 : x
  2. Step 2: Convert to fraction form
    12,775.66/19,146.87 = 6,530.41/x
  3. Step 3: Cross multiply
    12,775.66x = 19,146.87 × 6,530.41
  4. Step 4: Simplify right side
    12,775.66x = 125,036,911.32
  5. Step 5: Solve for x
    x = 125,036,911.32/12,775.66
  6. Step 6: Final answer
    x = 9,787.12

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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.