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Finding the Fourth Proportional to 15,784.34, 21,781.46 and 8,710.74

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Solution

The fourth proportional to 15,784.34, 21,781.46 and 8,710.74 is: 12,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.34 : 21,781.46 = 8,710.74 : x
  2. Step 2: Convert to fraction form
    15,784.34/21,781.46 = 8,710.74/x
  3. Step 3: Cross multiply
    15,784.34x = 21,781.46 × 8,710.74
  4. Step 4: Simplify right side
    15,784.34x = 189,732,656.66
  5. Step 5: Solve for x
    x = 189,732,656.66/15,784.34
  6. Step 6: Final answer
    x = 12,020.31

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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.