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Finding the Fourth Proportional to 16,538.90, 24,807.30 and 6,009.29

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Solution

The fourth proportional to 16,538.90, 24,807.30 and 6,009.29 is: 9,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.90 : 24,807.30 = 6,009.29 : x
  2. Step 2: Convert to fraction form
    16,538.90/24,807.30 = 6,009.29/x
  3. Step 3: Cross multiply
    16,538.90x = 24,807.30 × 6,009.29
  4. Step 4: Simplify right side
    16,538.90x = 149,074,259.82
  5. Step 5: Solve for x
    x = 149,074,259.82/16,538.90
  6. Step 6: Final answer
    x = 9,013.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.