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Finding the Fourth Proportional to 16,909.48, 23,335.14 and 9,834.04

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Solution

The fourth proportional to 16,909.48, 23,335.14 and 9,834.04 is: 13,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.48 : 23,335.14 = 9,834.04 : x
  2. Step 2: Convert to fraction form
    16,909.48/23,335.14 = 9,834.04/x
  3. Step 3: Cross multiply
    16,909.48x = 23,335.14 × 9,834.04
  4. Step 4: Simplify right side
    16,909.48x = 229,478,700.17
  5. Step 5: Solve for x
    x = 229,478,700.17/16,909.48
  6. Step 6: Final answer
    x = 13,571.01

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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.