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Finding the Fourth Proportional to 16,724.34, 23,077.71 and 9,653.10

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Solution

The fourth proportional to 16,724.34, 23,077.71 and 9,653.10 is: 13,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724.34 : 23,077.71 = 9,653.10 : x
  2. Step 2: Convert to fraction form
    16,724.34/23,077.71 = 9,653.10/x
  3. Step 3: Cross multiply
    16,724.34x = 23,077.71 × 9,653.10
  4. Step 4: Simplify right side
    16,724.34x = 222,771,442.40
  5. Step 5: Solve for x
    x = 222,771,442.40/16,724.34
  6. Step 6: Final answer
    x = 13,320.19

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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.