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Finding the Fourth Proportional to 23,482.32, 32,411.73 and 14,524.62

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Solution

The fourth proportional to 23,482.32, 32,411.73 and 14,524.62 is: 20,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482.32 : 32,411.73 = 14,524.62 : x
  2. Step 2: Convert to fraction form
    23,482.32/32,411.73 = 14,524.62/x
  3. Step 3: Cross multiply
    23,482.32x = 32,411.73 × 14,524.62
  4. Step 4: Simplify right side
    23,482.32x = 470,767,913.01
  5. Step 5: Solve for x
    x = 470,767,913.01/23,482.32
  6. Step 6: Final answer
    x = 20,047.76

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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.