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Finding the Fourth Proportional to 15,508.14, 21,406.80 and 9,220.50

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Solution

The fourth proportional to 15,508.14, 21,406.80 and 9,220.50 is: 12,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.14 : 21,406.80 = 9,220.50 : x
  2. Step 2: Convert to fraction form
    15,508.14/21,406.80 = 9,220.50/x
  3. Step 3: Cross multiply
    15,508.14x = 21,406.80 × 9,220.50
  4. Step 4: Simplify right side
    15,508.14x = 197,381,399.40
  5. Step 5: Solve for x
    x = 197,381,399.40/15,508.14
  6. Step 6: Final answer
    x = 12,727.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.