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Finding the Fourth Proportional to 22,693.69, 31,317.12 and 12,484.50

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Solution

The fourth proportional to 22,693.69, 31,317.12 and 12,484.50 is: 17,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,693.69 : 31,317.12 = 12,484.50 : x
  2. Step 2: Convert to fraction form
    22,693.69/31,317.12 = 12,484.50/x
  3. Step 3: Cross multiply
    22,693.69x = 31,317.12 × 12,484.50
  4. Step 4: Simplify right side
    22,693.69x = 390,978,584.64
  5. Step 5: Solve for x
    x = 390,978,584.64/22,693.69
  6. Step 6: Final answer
    x = 17,228.52

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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.