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Finding the Fourth Proportional to 24,437.16, 36,655.58 and 5,969

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Solution

The fourth proportional to 24,437.16, 36,655.58 and 5,969 is: 8,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.16 : 36,655.58 = 5,969 : x
  2. Step 2: Convert to fraction form
    24,437.16/36,655.58 = 5,969/x
  3. Step 3: Cross multiply
    24,437.16x = 36,655.58 × 5,969
  4. Step 4: Simplify right side
    24,437.16x = 218,797,157.02
  5. Step 5: Solve for x
    x = 218,797,157.02/24,437.16
  6. Step 6: Final answer
    x = 8,953.46

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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.