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Finding the Fourth Proportional to 14,683.88, 20,280.57 and 9,670.50

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Solution

The fourth proportional to 14,683.88, 20,280.57 and 9,670.50 is: 13,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.88 : 20,280.57 = 9,670.50 : x
  2. Step 2: Convert to fraction form
    14,683.88/20,280.57 = 9,670.50/x
  3. Step 3: Cross multiply
    14,683.88x = 20,280.57 × 9,670.50
  4. Step 4: Simplify right side
    14,683.88x = 196,123,252.19
  5. Step 5: Solve for x
    x = 196,123,252.19/14,683.88
  6. Step 6: Final answer
    x = 13,356.36

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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.