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Finding the Fourth Proportional to 12,750.96, 19,130.58 and 6,514.32

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Solution

The fourth proportional to 12,750.96, 19,130.58 and 6,514.32 is: 9,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.96 : 19,130.58 = 6,514.32 : x
  2. Step 2: Convert to fraction form
    12,750.96/19,130.58 = 6,514.32/x
  3. Step 3: Cross multiply
    12,750.96x = 19,130.58 × 6,514.32
  4. Step 4: Simplify right side
    12,750.96x = 124,622,719.91
  5. Step 5: Solve for x
    x = 124,622,719.91/12,750.96
  6. Step 6: Final answer
    x = 9,773.60

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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.