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Finding the Fourth Proportional to 16,804, 23,189.58 and 9,352

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Solution

The fourth proportional to 16,804, 23,189.58 and 9,352 is: 12,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804 : 23,189.58 = 9,352 : x
  2. Step 2: Convert to fraction form
    16,804/23,189.58 = 9,352/x
  3. Step 3: Cross multiply
    16,804x = 23,189.58 × 9,352
  4. Step 4: Simplify right side
    16,804x = 216,868,952.16
  5. Step 5: Solve for x
    x = 216,868,952.16/16,804
  6. Step 6: Final answer
    x = 12,905.79

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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.