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Finding the Fourth Proportional to 19,459.20, 29,145.60 and 10,214.40

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Solution

The fourth proportional to 19,459.20, 29,145.60 and 10,214.40 is: 15,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.20 : 29,145.60 = 10,214.40 : x
  2. Step 2: Convert to fraction form
    19,459.20/29,145.60 = 10,214.40/x
  3. Step 3: Cross multiply
    19,459.20x = 29,145.60 × 10,214.40
  4. Step 4: Simplify right side
    19,459.20x = 297,704,816.64
  5. Step 5: Solve for x
    x = 297,704,816.64/19,459.20
  6. Step 6: Final answer
    x = 15,298.92

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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.