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Finding the Fourth Proportional to 23,881.56, 35,807.76 and 9,837.24

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Solution

The fourth proportional to 23,881.56, 35,807.76 and 9,837.24 is: 14,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,881.56 : 35,807.76 = 9,837.24 : x
  2. Step 2: Convert to fraction form
    23,881.56/35,807.76 = 9,837.24/x
  3. Step 3: Cross multiply
    23,881.56x = 35,807.76 × 9,837.24
  4. Step 4: Simplify right side
    23,881.56x = 352,249,528.98
  5. Step 5: Solve for x
    x = 352,249,528.98/23,881.56
  6. Step 6: Final answer
    x = 14,749.85

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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.