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Finding the Fourth Proportional to 21,342.09, 32,018.13 and 7,302.24

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Solution

The fourth proportional to 21,342.09, 32,018.13 and 7,302.24 is: 10,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.09 : 32,018.13 = 7,302.24 : x
  2. Step 2: Convert to fraction form
    21,342.09/32,018.13 = 7,302.24/x
  3. Step 3: Cross multiply
    21,342.09x = 32,018.13 × 7,302.24
  4. Step 4: Simplify right side
    21,342.09x = 233,804,069.61
  5. Step 5: Solve for x
    x = 233,804,069.61/21,342.09
  6. Step 6: Final answer
    x = 10,955.07

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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.