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Finding the Fourth Proportional to 24,402.58, 36,574.35 and 17,462.50

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Solution

The fourth proportional to 24,402.58, 36,574.35 and 17,462.50 is: 26,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.58 : 36,574.35 = 17,462.50 : x
  2. Step 2: Convert to fraction form
    24,402.58/36,574.35 = 17,462.50/x
  3. Step 3: Cross multiply
    24,402.58x = 36,574.35 × 17,462.50
  4. Step 4: Simplify right side
    24,402.58x = 638,679,586.88
  5. Step 5: Solve for x
    x = 638,679,586.88/24,402.58
  6. Step 6: Final answer
    x = 26,172.63

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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.