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Finding the Fourth Proportional to 14,973.36, 22,468.14 and 6,214.32

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Solution

The fourth proportional to 14,973.36, 22,468.14 and 6,214.32 is: 9,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.36 : 22,468.14 = 6,214.32 : x
  2. Step 2: Convert to fraction form
    14,973.36/22,468.14 = 6,214.32/x
  3. Step 3: Cross multiply
    14,973.36x = 22,468.14 × 6,214.32
  4. Step 4: Simplify right side
    14,973.36x = 139,624,211.76
  5. Step 5: Solve for x
    x = 139,624,211.76/14,973.36
  6. Step 6: Final answer
    x = 9,324.84

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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.