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Finding the Fourth Proportional to 23,810.71, 35,684.72 and 13,285.69

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Solution

The fourth proportional to 23,810.71, 35,684.72 and 13,285.69 is: 19,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.71 : 35,684.72 = 13,285.69 : x
  2. Step 2: Convert to fraction form
    23,810.71/35,684.72 = 13,285.69/x
  3. Step 3: Cross multiply
    23,810.71x = 35,684.72 × 13,285.69
  4. Step 4: Simplify right side
    23,810.71x = 474,096,071.66
  5. Step 5: Solve for x
    x = 474,096,071.66/23,810.71
  6. Step 6: Final answer
    x = 19,911.05

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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.