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Finding the Fourth Proportional to 16,206.48, 22,359.36 and 9,835.08

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Solution

The fourth proportional to 16,206.48, 22,359.36 and 9,835.08 is: 13,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.48 : 22,359.36 = 9,835.08 : x
  2. Step 2: Convert to fraction form
    16,206.48/22,359.36 = 9,835.08/x
  3. Step 3: Cross multiply
    16,206.48x = 22,359.36 × 9,835.08
  4. Step 4: Simplify right side
    16,206.48x = 219,906,094.35
  5. Step 5: Solve for x
    x = 219,906,094.35/16,206.48
  6. Step 6: Final answer
    x = 13,569.02

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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.