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Finding the Fourth Proportional to 16,214.78, 24,320.50 and 4,368.06

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Solution

The fourth proportional to 16,214.78, 24,320.50 and 4,368.06 is: 6,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.78 : 24,320.50 = 4,368.06 : x
  2. Step 2: Convert to fraction form
    16,214.78/24,320.50 = 4,368.06/x
  3. Step 3: Cross multiply
    16,214.78x = 24,320.50 × 4,368.06
  4. Step 4: Simplify right side
    16,214.78x = 106,233,403.23
  5. Step 5: Solve for x
    x = 106,233,403.23/16,214.78
  6. Step 6: Final answer
    x = 6,551.64

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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.