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Finding the Fourth Proportional to 24,197.40, 36,307.44 and 9,402.48

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Solution

The fourth proportional to 24,197.40, 36,307.44 and 9,402.48 is: 14,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.40 : 36,307.44 = 9,402.48 : x
  2. Step 2: Convert to fraction form
    24,197.40/36,307.44 = 9,402.48/x
  3. Step 3: Cross multiply
    24,197.40x = 36,307.44 × 9,402.48
  4. Step 4: Simplify right side
    24,197.40x = 341,379,978.45
  5. Step 5: Solve for x
    x = 341,379,978.45/24,197.40
  6. Step 6: Final answer
    x = 14,108.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.