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Finding the Fourth Proportional to 23,284.69, 32,132.87 and 12,674.40

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Solution

The fourth proportional to 23,284.69, 32,132.87 and 12,674.40 is: 17,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.69 : 32,132.87 = 12,674.40 : x
  2. Step 2: Convert to fraction form
    23,284.69/32,132.87 = 12,674.40/x
  3. Step 3: Cross multiply
    23,284.69x = 32,132.87 × 12,674.40
  4. Step 4: Simplify right side
    23,284.69x = 407,264,711.19
  5. Step 5: Solve for x
    x = 407,264,711.19/23,284.69
  6. Step 6: Final answer
    x = 17,490.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.