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Finding the Fourth Proportional to 24,410.53, 36,585 and 19,459.81

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Solution

The fourth proportional to 24,410.53, 36,585 and 19,459.81 is: 29,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410.53 : 36,585 = 19,459.81 : x
  2. Step 2: Convert to fraction form
    24,410.53/36,585 = 19,459.81/x
  3. Step 3: Cross multiply
    24,410.53x = 36,585 × 19,459.81
  4. Step 4: Simplify right side
    24,410.53x = 711,937,148.85
  5. Step 5: Solve for x
    x = 711,937,148.85/24,410.53
  6. Step 6: Final answer
    x = 29,165.17

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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.