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Finding the Fourth Proportional to 15,784.68, 21,782.68 and 8,710.96

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Solution

The fourth proportional to 15,784.68, 21,782.68 and 8,710.96 is: 12,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.68 : 21,782.68 = 8,710.96 : x
  2. Step 2: Convert to fraction form
    15,784.68/21,782.68 = 8,710.96/x
  3. Step 3: Cross multiply
    15,784.68x = 21,782.68 × 8,710.96
  4. Step 4: Simplify right side
    15,784.68x = 189,748,054.17
  5. Step 5: Solve for x
    x = 189,748,054.17/15,784.68
  6. Step 6: Final answer
    x = 12,021.03

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Why These Related Problems?

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