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Finding the Fourth Proportional to 10,219.60, 15,329.40 and 9,215.20

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Solution

The fourth proportional to 10,219.60, 15,329.40 and 9,215.20 is: 13,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.60 : 15,329.40 = 9,215.20 : x
  2. Step 2: Convert to fraction form
    10,219.60/15,329.40 = 9,215.20/x
  3. Step 3: Cross multiply
    10,219.60x = 15,329.40 × 9,215.20
  4. Step 4: Simplify right side
    10,219.60x = 141,263,486.88
  5. Step 5: Solve for x
    x = 141,263,486.88/10,219.60
  6. Step 6: Final answer
    x = 13,822.80

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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.