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Finding the Fourth Proportional to 16,005.12, 22,089.06 and 9,289.30

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Solution

The fourth proportional to 16,005.12, 22,089.06 and 9,289.30 is: 12,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.12 : 22,089.06 = 9,289.30 : x
  2. Step 2: Convert to fraction form
    16,005.12/22,089.06 = 9,289.30/x
  3. Step 3: Cross multiply
    16,005.12x = 22,089.06 × 9,289.30
  4. Step 4: Simplify right side
    16,005.12x = 205,191,905.06
  5. Step 5: Solve for x
    x = 205,191,905.06/16,005.12
  6. Step 6: Final answer
    x = 12,820.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.