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Finding the Fourth Proportional to 23,187.59, 34,784.10 and 7,387.09

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Solution

The fourth proportional to 23,187.59, 34,784.10 and 7,387.09 is: 11,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.59 : 34,784.10 = 7,387.09 : x
  2. Step 2: Convert to fraction form
    23,187.59/34,784.10 = 7,387.09/x
  3. Step 3: Cross multiply
    23,187.59x = 34,784.10 × 7,387.09
  4. Step 4: Simplify right side
    23,187.59x = 256,953,277.27
  5. Step 5: Solve for x
    x = 256,953,277.27/23,187.59
  6. Step 6: Final answer
    x = 11,081.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.