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Finding the Fourth Proportional to 16,922.25, 23,352.71 and 9,470.25

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Solution

The fourth proportional to 16,922.25, 23,352.71 and 9,470.25 is: 13,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922.25 : 23,352.71 = 9,470.25 : x
  2. Step 2: Convert to fraction form
    16,922.25/23,352.71 = 9,470.25/x
  3. Step 3: Cross multiply
    16,922.25x = 23,352.71 × 9,470.25
  4. Step 4: Simplify right side
    16,922.25x = 221,155,954.53
  5. Step 5: Solve for x
    x = 221,155,954.53/16,922.25
  6. Step 6: Final answer
    x = 13,068.95

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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.