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Finding the Fourth Proportional to 21,405.36, 32,117.07 and 11,533.02

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Solution

The fourth proportional to 21,405.36, 32,117.07 and 11,533.02 is: 17,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.36 : 32,117.07 = 11,533.02 : x
  2. Step 2: Convert to fraction form
    21,405.36/32,117.07 = 11,533.02/x
  3. Step 3: Cross multiply
    21,405.36x = 32,117.07 × 11,533.02
  4. Step 4: Simplify right side
    21,405.36x = 370,406,733.46
  5. Step 5: Solve for x
    x = 370,406,733.46/21,405.36
  6. Step 6: Final answer
    x = 17,304.39

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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.