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Finding the Fourth Proportional to 21,582.72, 29,785.32 and 12,152.16

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Solution

The fourth proportional to 21,582.72, 29,785.32 and 12,152.16 is: 16,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582.72 : 29,785.32 = 12,152.16 : x
  2. Step 2: Convert to fraction form
    21,582.72/29,785.32 = 12,152.16/x
  3. Step 3: Cross multiply
    21,582.72x = 29,785.32 × 12,152.16
  4. Step 4: Simplify right side
    21,582.72x = 361,955,974.29
  5. Step 5: Solve for x
    x = 361,955,974.29/21,582.72
  6. Step 6: Final answer
    x = 16,770.64

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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.