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Finding the Fourth Proportional to 23,288.80, 32,137.50 and 12,678.16

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Solution

The fourth proportional to 23,288.80, 32,137.50 and 12,678.16 is: 17,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288.80 : 32,137.50 = 12,678.16 : x
  2. Step 2: Convert to fraction form
    23,288.80/32,137.50 = 12,678.16/x
  3. Step 3: Cross multiply
    23,288.80x = 32,137.50 × 12,678.16
  4. Step 4: Simplify right side
    23,288.80x = 407,444,367
  5. Step 5: Solve for x
    x = 407,444,367/23,288.80
  6. Step 6: Final answer
    x = 17,495.29

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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.