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Finding the Fourth Proportional to 21,406.60, 32,124.30 and 9,713.80

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Solution

The fourth proportional to 21,406.60, 32,124.30 and 9,713.80 is: 14,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.60 : 32,124.30 = 9,713.80 : x
  2. Step 2: Convert to fraction form
    21,406.60/32,124.30 = 9,713.80/x
  3. Step 3: Cross multiply
    21,406.60x = 32,124.30 × 9,713.80
  4. Step 4: Simplify right side
    21,406.60x = 312,049,025.34
  5. Step 5: Solve for x
    x = 312,049,025.34/21,406.60
  6. Step 6: Final answer
    x = 14,577.23

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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.