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Finding the Fourth Proportional to 21,364.06, 32,053 and 10,271.60

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Solution

The fourth proportional to 21,364.06, 32,053 and 10,271.60 is: 15,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.06 : 32,053 = 10,271.60 : x
  2. Step 2: Convert to fraction form
    21,364.06/32,053 = 10,271.60/x
  3. Step 3: Cross multiply
    21,364.06x = 32,053 × 10,271.60
  4. Step 4: Simplify right side
    21,364.06x = 329,235,594.80
  5. Step 5: Solve for x
    x = 329,235,594.80/21,364.06
  6. Step 6: Final answer
    x = 15,410.72

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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.