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Finding the Fourth Proportional to 24,035.94, 36,036.72 and 9,242.10

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Solution

The fourth proportional to 24,035.94, 36,036.72 and 9,242.10 is: 13,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035.94 : 36,036.72 = 9,242.10 : x
  2. Step 2: Convert to fraction form
    24,035.94/36,036.72 = 9,242.10/x
  3. Step 3: Cross multiply
    24,035.94x = 36,036.72 × 9,242.10
  4. Step 4: Simplify right side
    24,035.94x = 333,054,969.91
  5. Step 5: Solve for x
    x = 333,054,969.91/24,035.94
  6. Step 6: Final answer
    x = 13,856.54

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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.