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Finding the Fourth Proportional to 23,482.32, 32,403.94 and 13,411.32

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Solution

The fourth proportional to 23,482.32, 32,403.94 and 13,411.32 is: 18,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482.32 : 32,403.94 = 13,411.32 : x
  2. Step 2: Convert to fraction form
    23,482.32/32,403.94 = 13,411.32/x
  3. Step 3: Cross multiply
    23,482.32x = 32,403.94 × 13,411.32
  4. Step 4: Simplify right side
    23,482.32x = 434,579,608.60
  5. Step 5: Solve for x
    x = 434,579,608.60/23,482.32
  6. Step 6: Final answer
    x = 18,506.67

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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.