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Finding the Fourth Proportional to 21,448.53, 32,177.09 and 7,409.07

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Solution

The fourth proportional to 21,448.53, 32,177.09 and 7,409.07 is: 11,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.53 : 32,177.09 = 7,409.07 : x
  2. Step 2: Convert to fraction form
    21,448.53/32,177.09 = 7,409.07/x
  3. Step 3: Cross multiply
    21,448.53x = 32,177.09 × 7,409.07
  4. Step 4: Simplify right side
    21,448.53x = 238,402,312.21
  5. Step 5: Solve for x
    x = 238,402,312.21/21,448.53
  6. Step 6: Final answer
    x = 11,115.09

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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.