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Finding the Fourth Proportional to 21,420.59, 32,127.71 and 8,271.32

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Solution

The fourth proportional to 21,420.59, 32,127.71 and 8,271.32 is: 12,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.59 : 32,127.71 = 8,271.32 : x
  2. Step 2: Convert to fraction form
    21,420.59/32,127.71 = 8,271.32/x
  3. Step 3: Cross multiply
    21,420.59x = 32,127.71 × 8,271.32
  4. Step 4: Simplify right side
    21,420.59x = 265,738,368.28
  5. Step 5: Solve for x
    x = 265,738,368.28/21,420.59
  6. Step 6: Final answer
    x = 12,405.75

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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.