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Finding the Fourth Proportional to 16,009.69, 24,014.54 and 4,322.90

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Solution

The fourth proportional to 16,009.69, 24,014.54 and 4,322.90 is: 6,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.69 : 24,014.54 = 4,322.90 : x
  2. Step 2: Convert to fraction form
    16,009.69/24,014.54 = 4,322.90/x
  3. Step 3: Cross multiply
    16,009.69x = 24,014.54 × 4,322.90
  4. Step 4: Simplify right side
    16,009.69x = 103,812,454.97
  5. Step 5: Solve for x
    x = 103,812,454.97/16,009.69
  6. Step 6: Final answer
    x = 6,484.35

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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.