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Finding the Fourth Proportional to 24,455.10, 36,675.36 and 7,814.46

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Solution

The fourth proportional to 24,455.10, 36,675.36 and 7,814.46 is: 11,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455.10 : 36,675.36 = 7,814.46 : x
  2. Step 2: Convert to fraction form
    24,455.10/36,675.36 = 7,814.46/x
  3. Step 3: Cross multiply
    24,455.10x = 36,675.36 × 7,814.46
  4. Step 4: Simplify right side
    24,455.10x = 286,598,133.71
  5. Step 5: Solve for x
    x = 286,598,133.71/24,455.10
  6. Step 6: Final answer
    x = 11,719.36

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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.