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Finding the Fourth Proportional to 16,911.84, 23,332.65 and 9,832.44

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Solution

The fourth proportional to 16,911.84, 23,332.65 and 9,832.44 is: 13,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,911.84 : 23,332.65 = 9,832.44 : x
  2. Step 2: Convert to fraction form
    16,911.84/23,332.65 = 9,832.44/x
  3. Step 3: Cross multiply
    16,911.84x = 23,332.65 × 9,832.44
  4. Step 4: Simplify right side
    16,911.84x = 229,416,881.17
  5. Step 5: Solve for x
    x = 229,416,881.17/16,911.84
  6. Step 6: Final answer
    x = 13,565.46

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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.