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Finding the Fourth Proportional to 15,784.42, 21,782.16 and 8,710.78

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Solution

The fourth proportional to 15,784.42, 21,782.16 and 8,710.78 is: 12,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.42 : 21,782.16 = 8,710.78 : x
  2. Step 2: Convert to fraction form
    15,784.42/21,782.16 = 8,710.78/x
  3. Step 3: Cross multiply
    15,784.42x = 21,782.16 × 8,710.78
  4. Step 4: Simplify right side
    15,784.42x = 189,739,603.68
  5. Step 5: Solve for x
    x = 189,739,603.68/15,784.42
  6. Step 6: Final answer
    x = 12,020.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.