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Finding the Fourth Proportional to 12,765.78, 19,152.32 and 5,366.42

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Solution

The fourth proportional to 12,765.78, 19,152.32 and 5,366.42 is: 8,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.78 : 19,152.32 = 5,366.42 : x
  2. Step 2: Convert to fraction form
    12,765.78/19,152.32 = 5,366.42/x
  3. Step 3: Cross multiply
    12,765.78x = 19,152.32 × 5,366.42
  4. Step 4: Simplify right side
    12,765.78x = 102,779,393.09
  5. Step 5: Solve for x
    x = 102,779,393.09/12,765.78
  6. Step 6: Final answer
    x = 8,051.16

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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.