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Finding the Fourth Proportional to 24,225.50, 36,352.84 and 10,374.50

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Solution

The fourth proportional to 24,225.50, 36,352.84 and 10,374.50 is: 15,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225.50 : 36,352.84 = 10,374.50 : x
  2. Step 2: Convert to fraction form
    24,225.50/36,352.84 = 10,374.50/x
  3. Step 3: Cross multiply
    24,225.50x = 36,352.84 × 10,374.50
  4. Step 4: Simplify right side
    24,225.50x = 377,142,538.58
  5. Step 5: Solve for x
    x = 377,142,538.58/24,225.50
  6. Step 6: Final answer
    x = 15,568.00

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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.