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Finding the Fourth Proportional to 24,282.27, 36,428.00 and 9,490.25

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Solution

The fourth proportional to 24,282.27, 36,428.00 and 9,490.25 is: 14,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.27 : 36,428.00 = 9,490.25 : x
  2. Step 2: Convert to fraction form
    24,282.27/36,428.00 = 9,490.25/x
  3. Step 3: Cross multiply
    24,282.27x = 36,428.00 × 9,490.25
  4. Step 4: Simplify right side
    24,282.27x = 345,710,597.41
  5. Step 5: Solve for x
    x = 345,710,597.41/24,282.27
  6. Step 6: Final answer
    x = 14,237.16

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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.