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Finding the Fourth Proportional to 21,381.93, 32,076.32 and 6,590.84

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Solution

The fourth proportional to 21,381.93, 32,076.32 and 6,590.84 is: 9,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.93 : 32,076.32 = 6,590.84 : x
  2. Step 2: Convert to fraction form
    21,381.93/32,076.32 = 6,590.84/x
  3. Step 3: Cross multiply
    21,381.93x = 32,076.32 × 6,590.84
  4. Step 4: Simplify right side
    21,381.93x = 211,409,699.57
  5. Step 5: Solve for x
    x = 211,409,699.57/21,381.93
  6. Step 6: Final answer
    x = 9,887.31

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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.