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Finding the Fourth Proportional to 12,782.15, 19,182.54 and 6,547.38

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Solution

The fourth proportional to 12,782.15, 19,182.54 and 6,547.38 is: 9,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.15 : 19,182.54 = 6,547.38 : x
  2. Step 2: Convert to fraction form
    12,782.15/19,182.54 = 6,547.38/x
  3. Step 3: Cross multiply
    12,782.15x = 19,182.54 × 6,547.38
  4. Step 4: Simplify right side
    12,782.15x = 125,595,378.75
  5. Step 5: Solve for x
    x = 125,595,378.75/12,782.15
  6. Step 6: Final answer
    x = 9,825.85

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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.