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Finding the Fourth Proportional to 19,564.14, 29,345.92 and 7,877.06

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Solution

The fourth proportional to 19,564.14, 29,345.92 and 7,877.06 is: 11,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.14 : 29,345.92 = 7,877.06 : x
  2. Step 2: Convert to fraction form
    19,564.14/29,345.92 = 7,877.06/x
  3. Step 3: Cross multiply
    19,564.14x = 29,345.92 × 7,877.06
  4. Step 4: Simplify right side
    19,564.14x = 231,159,572.60
  5. Step 5: Solve for x
    x = 231,159,572.60/19,564.14
  6. Step 6: Final answer
    x = 11,815.47

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