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Finding the Fourth Proportional to 24,130.14, 36,197.76 and 6,600

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Solution

The fourth proportional to 24,130.14, 36,197.76 and 6,600 is: 9,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130.14 : 36,197.76 = 6,600 : x
  2. Step 2: Convert to fraction form
    24,130.14/36,197.76 = 6,600/x
  3. Step 3: Cross multiply
    24,130.14x = 36,197.76 × 6,600
  4. Step 4: Simplify right side
    24,130.14x = 238,905,216
  5. Step 5: Solve for x
    x = 238,905,216/24,130.14
  6. Step 6: Final answer
    x = 9,900.70

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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.