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Finding the Fourth Proportional to 23,814.59, 35,729.28 and 9,775.76

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Solution

The fourth proportional to 23,814.59, 35,729.28 and 9,775.76 is: 14,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.59 : 35,729.28 = 9,775.76 : x
  2. Step 2: Convert to fraction form
    23,814.59/35,729.28 = 9,775.76/x
  3. Step 3: Cross multiply
    23,814.59x = 35,729.28 × 9,775.76
  4. Step 4: Simplify right side
    23,814.59x = 349,280,687.61
  5. Step 5: Solve for x
    x = 349,280,687.61/23,814.59
  6. Step 6: Final answer
    x = 14,666.67

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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.