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Finding the Fourth Proportional to 21,654.12, 32,455.02 and 10,544.16

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Solution

The fourth proportional to 21,654.12, 32,455.02 and 10,544.16 is: 15,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.12 : 32,455.02 = 10,544.16 : x
  2. Step 2: Convert to fraction form
    21,654.12/32,455.02 = 10,544.16/x
  3. Step 3: Cross multiply
    21,654.12x = 32,455.02 × 10,544.16
  4. Step 4: Simplify right side
    21,654.12x = 342,210,923.68
  5. Step 5: Solve for x
    x = 342,210,923.68/21,654.12
  6. Step 6: Final answer
    x = 15,803.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.