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Finding the Fourth Proportional to 24,703.16, 37,043.56 and 10,656.56

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Solution

The fourth proportional to 24,703.16, 37,043.56 and 10,656.56 is: 15,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.16 : 37,043.56 = 10,656.56 : x
  2. Step 2: Convert to fraction form
    24,703.16/37,043.56 = 10,656.56/x
  3. Step 3: Cross multiply
    24,703.16x = 37,043.56 × 10,656.56
  4. Step 4: Simplify right side
    24,703.16x = 394,756,919.75
  5. Step 5: Solve for x
    x = 394,756,919.75/24,703.16
  6. Step 6: Final answer
    x = 15,980.02

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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.