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Finding the Fourth Proportional to 21,243.64, 31,856.25 and 7,008.10

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Solution

The fourth proportional to 21,243.64, 31,856.25 and 7,008.10 is: 10,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.64 : 31,856.25 = 7,008.10 : x
  2. Step 2: Convert to fraction form
    21,243.64/31,856.25 = 7,008.10/x
  3. Step 3: Cross multiply
    21,243.64x = 31,856.25 × 7,008.10
  4. Step 4: Simplify right side
    21,243.64x = 223,251,785.63
  5. Step 5: Solve for x
    x = 223,251,785.63/21,243.64
  6. Step 6: Final answer
    x = 10,509.11

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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.