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Finding the Fourth Proportional to 24,459, 36,663.64 and 9,647.60

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Solution

The fourth proportional to 24,459, 36,663.64 and 9,647.60 is: 14,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459 : 36,663.64 = 9,647.60 : x
  2. Step 2: Convert to fraction form
    24,459/36,663.64 = 9,647.60/x
  3. Step 3: Cross multiply
    24,459x = 36,663.64 × 9,647.60
  4. Step 4: Simplify right side
    24,459x = 353,716,133.26
  5. Step 5: Solve for x
    x = 353,716,133.26/24,459
  6. Step 6: Final answer
    x = 14,461.59

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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.