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Finding the Fourth Proportional to 16,898.86, 23,318.76 and 9,825.76

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Solution

The fourth proportional to 16,898.86, 23,318.76 and 9,825.76 is: 13,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898.86 : 23,318.76 = 9,825.76 : x
  2. Step 2: Convert to fraction form
    16,898.86/23,318.76 = 9,825.76/x
  3. Step 3: Cross multiply
    16,898.86x = 23,318.76 × 9,825.76
  4. Step 4: Simplify right side
    16,898.86x = 229,124,539.26
  5. Step 5: Solve for x
    x = 229,124,539.26/16,898.86
  6. Step 6: Final answer
    x = 13,558.58

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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.