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Finding the Fourth Proportional to 17,886.34, 26,816.55 and 9,114.58

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Solution

The fourth proportional to 17,886.34, 26,816.55 and 9,114.58 is: 13,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.34 : 26,816.55 = 9,114.58 : x
  2. Step 2: Convert to fraction form
    17,886.34/26,816.55 = 9,114.58/x
  3. Step 3: Cross multiply
    17,886.34x = 26,816.55 × 9,114.58
  4. Step 4: Simplify right side
    17,886.34x = 244,421,590.30
  5. Step 5: Solve for x
    x = 244,421,590.30/17,886.34
  6. Step 6: Final answer
    x = 13,665.27

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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.