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Finding the Fourth Proportional to 15,784.07, 21,781.38 and 8,710.40

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Solution

The fourth proportional to 15,784.07, 21,781.38 and 8,710.40 is: 12,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.07 : 21,781.38 = 8,710.40 : x
  2. Step 2: Convert to fraction form
    15,784.07/21,781.38 = 8,710.40/x
  3. Step 3: Cross multiply
    15,784.07x = 21,781.38 × 8,710.40
  4. Step 4: Simplify right side
    15,784.07x = 189,724,532.35
  5. Step 5: Solve for x
    x = 189,724,532.35/15,784.07
  6. Step 6: Final answer
    x = 12,020.00

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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.