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Finding the Fourth Proportional to 21,746.39, 32,619.89 and 6,164.01

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Solution

The fourth proportional to 21,746.39, 32,619.89 and 6,164.01 is: 9,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.39 : 32,619.89 = 6,164.01 : x
  2. Step 2: Convert to fraction form
    21,746.39/32,619.89 = 6,164.01/x
  3. Step 3: Cross multiply
    21,746.39x = 32,619.89 × 6,164.01
  4. Step 4: Simplify right side
    21,746.39x = 201,069,343.57
  5. Step 5: Solve for x
    x = 201,069,343.57/21,746.39
  6. Step 6: Final answer
    x = 9,246.10

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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.