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Finding the Fourth Proportional to 16,009.17, 24,014.90 and 6,148.45

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Solution

The fourth proportional to 16,009.17, 24,014.90 and 6,148.45 is: 9,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.17 : 24,014.90 = 6,148.45 : x
  2. Step 2: Convert to fraction form
    16,009.17/24,014.90 = 6,148.45/x
  3. Step 3: Cross multiply
    16,009.17x = 24,014.90 × 6,148.45
  4. Step 4: Simplify right side
    16,009.17x = 147,654,338.86
  5. Step 5: Solve for x
    x = 147,654,338.86/16,009.17
  6. Step 6: Final answer
    x = 9,223.11

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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.