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Finding the Fourth Proportional to 14,603.60, 21,909 and 4,216.16

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Solution

The fourth proportional to 14,603.60, 21,909 and 4,216.16 is: 6,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.60 : 21,909 = 4,216.16 : x
  2. Step 2: Convert to fraction form
    14,603.60/21,909 = 4,216.16/x
  3. Step 3: Cross multiply
    14,603.60x = 21,909 × 4,216.16
  4. Step 4: Simplify right side
    14,603.60x = 92,371,849.44
  5. Step 5: Solve for x
    x = 92,371,849.44/14,603.60
  6. Step 6: Final answer
    x = 6,325.28

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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.