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Finding the Fourth Proportional to 19,564.14, 29,345.90 and 7,877.08

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Solution

The fourth proportional to 19,564.14, 29,345.90 and 7,877.08 is: 11,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.14 : 29,345.90 = 7,877.08 : x
  2. Step 2: Convert to fraction form
    19,564.14/29,345.90 = 7,877.08/x
  3. Step 3: Cross multiply
    19,564.14x = 29,345.90 × 7,877.08
  4. Step 4: Simplify right side
    19,564.14x = 231,160,001.97
  5. Step 5: Solve for x
    x = 231,160,001.97/19,564.14
  6. Step 6: Final answer
    x = 11,815.50

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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.