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Finding the Fourth Proportional to 23,420.31, 32,315.20 and 13,855.47

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Solution

The fourth proportional to 23,420.31, 32,315.20 and 13,855.47 is: 19,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.31 : 32,315.20 = 13,855.47 : x
  2. Step 2: Convert to fraction form
    23,420.31/32,315.20 = 13,855.47/x
  3. Step 3: Cross multiply
    23,420.31x = 32,315.20 × 13,855.47
  4. Step 4: Simplify right side
    23,420.31x = 447,742,284.14
  5. Step 5: Solve for x
    x = 447,742,284.14/23,420.31
  6. Step 6: Final answer
    x = 19,117.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.